Journal of Differential Equations最新文献

英文中文

Least energy solutions for cooperative and competitive Schrödinger systems with Neumann boundary conditions 具有诺伊曼边界条件的合作与竞争Schrödinger系统的最小能量解

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-28 DOI: 10.1016/j.jde.2026.114135

Simone Mauro , Delia Schiera , Hugo Tavares

We study the following gradient elliptic system with Neumann boundary conditions

- Δ u + λ_{1} u = u^{3} + β u v^{2}, - Δ v + λ_{2} v = v^{3} + β u^{2} v in Ω, \frac{\partial u}{\partial ν} = \frac{\partial v}{\partial ν} = 0 on \partial Ω,

where

Ω \subset R^{N}

is a bounded

C^{2}

domain with

N \leq 4

, and ν denotes the outward unit normal on the boundary. We investigate the existence of non-constant least energy solutions in both the cooperative (

β > 0

) and the competitive (

β < 0

) regimes, considering both the definite and the indefinite case, namely

λ_{1}, λ_{2} \in R

. We emphasize that our analysis includes both the subcritical case

N \leq 3

and the critical case

N = 4

Depending on the values of

β, λ_{1}, λ_{2}

, the least energy solution is obtained either via a linking theorem, by minimizing over a suitable Nehari manifold, or by direct minimization on the set of all non-trivial weak solutions. Our results and techniques can be also adapted to cover some previously untreated cases for Dirichlet conditions.

我们研究了以下具有Neumann边界条件的梯度椭圆系统- Δu+λ1u=u3+βuv2,−Δv+λ2v=v3+βu2vin Ω，∂u∂ν=∂v∂ν=0on∂Ω，其中Ω∧RN是N≤4的有界C2定义域，ν表示边界上的向外单位法线。我们研究了在合作（β>0）和竞争（β<0）两种情况下，即λ1，λ2∈R的非常数最小能量解的存在性。我们强调，我们的分析既包括亚临界情况N≤3，也包括临界情况N=4。根据β，λ1，λ2的值，最小能量解可以通过连接定理，通过在合适的Nehari流形上最小化，或者通过在所有非平凡弱解的集合上直接最小化得到。我们的结果和技术也可以适用于一些以前未治疗的狄利克雷条件的病例。

引用次数: 0

Stochastic Schrödinger-Korteweg de Vries systems driven by multiplicative noises 由乘法噪声驱动的随机Schrödinger-Korteweg德弗里斯系统

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-28 DOI: 10.1016/j.jde.2026.114142

Jie Chen , Fan Gu , Boling Guo

In this paper, we consider the well-posedness of stochastic S-KdV driven by multiplicative noises in

H_{x}^{1} \times H_{x}^{1}

. To get the local well-posedness, we first develop the bilinear and trilinear Bourgain norm estimates of the nonlinear terms with

b \in (0, 1 / 2)

. Then, to overcome regularity problems, we introduce a series of approximation equations with localized nonlinear terms, which are also cutted-off in both the physical and the frequency space. By limitations, these approximation equations will help us get a priori estimate in the Bourgain space and finish the proof of the global well-posedness of the initial system.

本文考虑了Hx1×Hx1中由乘性噪声驱动的随机S-KdV的适定性。为了得到局部适定性，我们首先给出了b∈(0,1/2)的非线性项的双线性和三线性布尔格恩范数估计。然后，为了克服正则性问题，我们引入了一系列具有局部非线性项的近似方程，这些非线性项在物理空间和频率空间中都是截断的。通过限制，这些近似方程将帮助我们在布尔甘空间中得到先验估计，并完成初始系统全局适定性的证明。

引用次数: 0

Stability and asymptotic behavior of one-dimensional solutions in cylinders 柱体一维解的稳定性和渐近性质

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-28 DOI: 10.1016/j.jde.2026.114146

Francesca De Marchis, Lisa Mazzuoli, Filomena Pacella

We consider positive one-dimensional solutions of a Lane-Emden relative Dirichlet problem in a cylinder and study their stability/instability properties as the energy varies with respect to domain perturbations. This depends on the exponent

p > 1

of the nonlinearity and we obtain results for p close to 1 and for p large. This is achieved by a careful asymptotic analysis of the one-dimensional solution as

p \to 1

p \to \infty

, which is of independent interest. It allows to detect the limit profile and other qualitative properties of these solutions.

考虑圆柱中Lane-Emden相对狄利克雷问题的一维正解，研究了它们在能量随域扰动变化时的稳定性和不稳定性。这取决于非线性的指数p>；1我们得到了p接近1和p较大时的结果。这是通过对p→1或p→∞的一维解进行仔细的渐近分析来实现的，这是一个独立的兴趣。它允许检测这些溶液的极限轮廓和其他定性性质。

引用次数: 0

Global dynamics of nonlocal dispersal systems on time-varying domains 时变域上非局部扩散系统的全局动力学

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-28 DOI: 10.1016/j.jde.2026.114144

Xiandong Lin , Hailong Ye , Xiao-Qiang Zhao

We propose a class of nonlocal dispersal systems on time-varying domains, and fully characterize their asymptotic dynamics in the asymptotically fixed, time-periodic and unbounded cases. We first establish the comparison principle for generalized sub- and supersolutions of a class of nonautonomous nonlocal dispersal systems defined on the space of bounded measurable functions. Based on this, we develop a comprehensive framework to rigorously examine the threshold dynamics of the original system on asymptotically fixed and time-periodic domains. In the asymptotically unbounded case, we introduce a key auxiliary function to address the difficulties caused by the vanishing viscosity as

t \to \infty

, and the time-dependent coupling structure in the nonlocal kernels. This enables us to construct generalized subsolutions and derive the global threshold dynamics via the comparison principle. The findings may be of independent interest and the developed techniques are expected to find further applications in the related nonlocal dispersal problems. We also conduct numerical simulations for a practical model to illustrate our analytical results.

我们提出了一类时变域上的非局部分散系统，并充分刻画了它们在渐近固定、时间周期和无界情况下的渐近动力学。本文首先建立了定义在有界可测函数空间上的一类非自治非局部分散系统的广义子解和超解的比较原理。在此基础上，我们开发了一个全面的框架来严格检查原始系统在渐近固定和时间周期域上的阈值动力学。在渐近无界情况下，我们引入了一个关键的辅助函数来解决t→∞时黏性消失和非局部核中的时变耦合结构所带来的困难。这使我们能够构造广义子解，并通过比较原理推导出全局阈值动力学。这些发现可能具有独立的意义，并且所开发的技术有望在相关的非局部扩散问题中找到进一步的应用。我们还对一个实际模型进行了数值模拟，以说明我们的分析结果。

{"title":"Global dynamics of nonlocal dispersal systems on time-varying domains","authors":"Xiandong Lin , Hailong Ye , Xiao-Qiang Zhao","doi":"10.1016/j.jde.2026.114144","DOIUrl":"10.1016/j.jde.2026.114144","url":null,"abstract":"<div><div>We propose a class of nonlocal dispersal systems on time-varying domains, and fully characterize their asymptotic dynamics in the asymptotically fixed, time-periodic and unbounded cases. We first establish the comparison principle for generalized sub- and supersolutions of a class of nonautonomous nonlocal dispersal systems defined on the space of bounded measurable functions. Based on this, we develop a comprehensive framework to rigorously examine the threshold dynamics of the original system on asymptotically fixed and time-periodic domains. In the asymptotically unbounded case, we introduce a key auxiliary function to address the difficulties caused by the vanishing viscosity as <span><math><mi>t</mi><mo>→</mo><mo>∞</mo></math></span>, and the time-dependent coupling structure in the nonlocal kernels. This enables us to construct generalized subsolutions and derive the global threshold dynamics via the comparison principle. The findings may be of independent interest and the developed techniques are expected to find further applications in the related nonlocal dispersal problems. We also conduct numerical simulations for a practical model to illustrate our analytical results.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"462 ","pages":"Article 114144"},"PeriodicalIF":2.3,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146075453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Global Calderón-Zygmund type theory for elliptic problems with degenerate weights from composite structures 复合结构退化权椭圆型问题的全局Calderón-Zygmund型理论

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-27 DOI: 10.1016/j.jde.2026.114147

Yumi Cho , Yunsoo Jang

In this research, we study a higher regularity result for elliptic problems with degenerate weights. We consider nonlinear p-Laplacian type elliptic equations related to composite materials which are composed of two or more distinct substances with different properties. Under the suitable assumptions on the nonlinearities and the geometry of composite structures, we obtain a global Calderón-Zygmund type theory.

本文研究了具有退化权值的椭圆型问题的一个高正则性结果。考虑由两种或两种以上性质不同的物质组成的复合材料的非线性p-拉普拉斯型椭圆方程。在适当的非线性和复合结构几何假设下，我们得到了一个全局Calderón-Zygmund型理论。

引用次数: 0

Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains 一般非圆柱形域上双非线性系统变分解的存在性

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-27 DOI: 10.1016/j.jde.2026.114139

Leah Schätzler , Christoph Scheven , Jarkko Siltakoski , Calvin Stanko

We consider the Cauchy–Dirichlet problem to doubly nonlinear systems of the form

\partial_{t} (| u |^{q - 1} u) - div (D_{ξ} f (x, u, D u)) = - D_{u} f (x, u, D u)

with

q \in (0, \infty)

in a bounded noncylindrical domain

E \subset R^{n + 1}

. Further, we suppose that

x \mapsto f (x, u, ξ)

is integrable, that

(u, ξ) \mapsto f (x, u, ξ)

is convex, and that f satisfies a p-growth and -coercivity condition for some

p > \max {1, \frac{n (q + 1)}{n + q + 1}}

. Merely assuming that

L^{n + 1} (\partial E) = 0

, we prove the existence of variational solutions

u \in L^{\infty} (0, T; L^{q + 1} (E, R^{N}))

. If E does not shrink too fast, we show that for the solution u constructed in the first step,

| u |^{q - 1} u

admits a distributional time derivative. Moreover, under suitable conditions on E and the stricter lower bound

p \geq \frac{(n + 1) (q + 1)}{n + q + 1}

, u is continuous with respect to time.

我们考虑在有界非柱面区域E∧Rn+1中，∂t(|u|q−1u)−div(Dξf(x,u,Du))=−Duf（x,u,Du）的双非线性系统的Cauchy-Dirichlet问题。进一步，我们假设x∑f（x,u,ξ）是可积的，(u,ξ)∑f（x,u,ξ）是凸的，并且f对于某些p>；max (1,n(q+1)n+q+1}满足p增长和-矫顽性条件。仅假设Ln+1(∂E)=0，我们证明了变分解u∈L∞（0，T;Lq+1(E，RN)）的存在性。如果E收缩得不是太快，我们证明了对于第一步构造的解u， |u|q−1u允许一个分配时间导数。并且，在E的适当条件下，以及p≥(n+1)(q+1)n+q+1的更严格下界下，u相对于时间是连续的。

引用次数: 0

Propagation properties of Fisher-KPP lattice equations with almost periodic coefficients 具有概周期系数的Fisher-KPP格方程的传播特性

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-26 DOI: 10.1016/j.jde.2026.114143

Hai Zhou, Tao Zhou

<div><div>In this paper, we investigate the properties of the spreading speeds for the following Fisher-KPP lattice system in the almost periodic media:<span><span><span>(⁎)</span><span><math><mrow><mo>{</mo><mtable><mtr><mtd></mtd><mtd><msub><mrow><mi>u</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>(</mo><mi>t</mi><mo>,</mo><mi>i</mi><mo>)</mo><mo>=</mo><msubsup><mrow><mi>d</mi></mrow><mrow><mi>i</mi></mrow><mrow><mo>′</mo></mrow></msubsup><mo>(</mo><mi>u</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>i</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>−</mo><mi>u</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>i</mi><mo>)</mo><mo>)</mo><mo>+</mo><msub><mrow><mi>d</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>(</mo><mi>u</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>i</mi><mo>−</mo><mn>1</mn><mo>)</mo><mo>−</mo><mi>u</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>i</mi><mo>)</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mi>i</mi><mo>,</mo><mi>u</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>i</mi><mo>)</mo><mo>)</mo><mo>,</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>u</mi><mo>(</mo><mn>0</mn><mo>,</mo><mi>i</mi><mo>)</mo><mo>=</mo><msub><mrow><mi>u</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mi>i</mi><mo>)</mo><mo>∈</mo><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo><mspace></mspace><mtext>is nonzero with compact support</mtext><mo>.</mo></mtd></mtr></mtable></mrow></math></span></span></span> First, we prove the existence of spreading speeds <span><math><msup><mrow><mi>ω</mi></mrow><mrow><mo>+</mo></mrow></msup></math></span> and <span><math><msup><mrow><mi>ω</mi></mrow><mrow><mo>−</mo></mrow></msup></math></span> of <span><span>(⁎)</span></span> in the positive and negative directions, respectively, without the “small drift” assumption. Moreover, the difference between the speeds on both sides (i.e., which is larger) is determined by a certain average of the left and right fluxes. Specifically,<span><span><span><math><mtext>sgn</mtext><mo>(</mo><msup><mrow><mi>ω</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>−</mo><msup><mrow><mi>ω</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>)</mo><mo>=</mo><mtext>sgn</mtext><mo>(</mo><munder><mi>lim</mi><mrow><mi>n</mi><mo>→</mo><mo>∞</mo></mrow></munder><mo>⁡</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mi>n</mi></mrow></mfrac><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mrow><mi>n</mi></mrow></munderover><mi>ln</mi><mo>⁡</mo><mfrac><mrow><msubsup><mrow><mi>d</mi></mrow><mrow><mi>i</mi></mrow><mrow><mo>′</mo></mrow></msubsup></mrow><mrow><msub><mrow><mi>d</mi></mrow><mrow><mi>i</mi></mrow></msub></mrow></mfrac><mo>)</mo><mo>.</mo></math></span></span></span> We also prove the convergence of the average in the discrete case to that in the continuous case. Additionally, we demonstrate that, in the homogeneous case, any small perturbation of the 2-periodic drift reduces the expanding spread of the level set, i.e., the value <span><math><msup><mrow><mi>ω</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>+</mo><msup><mrow><mi>ω</mi></mrow><mrow><mo>−</mo

本文研究了近似周期介质上的一类Fisher-KPP格系统的扩展速度的性质：(f){ut(t,i)=di ' (u(t,i+1) - u(t,i))+di(u(t,i - 1) - u(t,i))+f(i,u(t,i)),u(0,i)=u0(i)∈[0,1]是非零的紧支撑。首先，在不存在“小漂移”假设的情况下，证明了（）在正、负方向上分别存在扩展速度ω+和ω−。此外，两边的速度之差（即哪个更大）是由左右通量的一定平均值决定的。具体来说,胡志明市(ω+−ω−)=胡志明市(描写→∞⁡1 n∑我= 1 nln⁡di 'di)。我们还证明了离散情况下的均值收敛于连续情况下的均值。此外，我们证明，在齐次情况下，任何2周期漂移的小扰动都会减小水平集的扩展范围，即值ω++ω−。这种行为不同于连续情况下的行为。

引用次数: 0

Dynamics of an on-off self-propelled particle in a cellular flow 细胞流动中开-关自推进粒子的动力学

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-26 DOI: 10.1016/j.jde.2026.114127

Alfredo J. Grados, Jeferson Cassiano, Maurício F.S. Lima, Rafael D. Vilela

On-off swimming mechanisms are common in natural and artificial microswimmers. A mathematically sound modeling of the dynamics of particles exhibiting such mechanisms should be based on discontinuous vector fields. Nevertheless, the relatively new techniques constructed to deal with discontinuous systems have not been employed for microswimmers. Here, motivated by the “run” strategy proposed in T. Mano et al. (2017) [11] for motile Janus particles, we study the dynamics of swimmers with self-propulsion when their orientation is close to a given direction. Unlike the dynamics addressed in the aforementioned reference, we consider that swimmers are immersed in a fluid flow. Their orientation, therefore, evolves according to Jeffery's equation. We use the Filippov formalism for discontinuous systems to geometrically describe the velocity field. We also derive a Poincaré map, which describes the dynamics to first order in the discontinuity parameter, and study some of its properties.

开关游泳机制在天然和人工微游泳者中很常见。表现出这种机制的粒子动力学的数学上合理的建模应该基于不连续的矢量场。然而，为处理不连续系统而构建的相对较新的技术尚未用于微游泳者。在T. Mano et al.(2017)[11]中针对运动Janus粒子提出的“奔跑”策略的激励下，我们研究了具有自我推进的游泳者在其方向接近给定方向时的动力学。与前面提到的动力学不同，我们认为游泳者沉浸在流体流动中。因此，它们的方向根据杰弗瑞的方程演变。我们用不连续系统的菲利波夫形式来几何地描述速度场。我们还得到了一个在不连续参数上描述动力学到一阶的庞卡罗映射，并研究了它的一些性质。

引用次数: 0

Rotating waves for nonlinear wave equations with angular velocities on a positive-measure set 正测度集上角速度非线性波动方程的旋转波

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-26 DOI: 10.1016/j.jde.2026.114155

Yingdu Dong, Xiong Li

In this paper, we focus on the existence of rotating wave solutions for a nonlinear wave equation on the sphere

S^{d - 1}

with

d \geq 3

, which is a kind of traveling wave solutions on non-Euclidean spaces. The case when the angular velocity is larger than 1 is of particular focus, as it leads to an elliptic-hyperbolic mixed-type equation. Generally, the spectrum of a mixed-type linearized operator could behave badly, e.g., the spectrum is unbounded from below and above, and there may exist an accumulation at zero. The aim of this paper is to address the case with accumulation points in the spectrum, which leads to the ‘small divisor problem’. Owing to the geometric structure of the sphere and the good properties of the eigenvalues of the Laplacian on it, the accumulation can occur in a controlled manner if appropriate angular velocities are selected. Then we attack this issue through the Nash-Moser type iteration theorem.

本文研究了一类非线性波动方程在非欧几里德空间上的旋转波解的存在性，该方程是一类非欧几里德空间上的行波解。在角速度大于1的情况下，得到椭圆-双曲混合型方程。一般情况下，混合型线性化算子的谱表现不佳，如谱上下无界，在零处可能存在累加。本文的目的是解决频谱中有累积点的情况，这导致了“小因子问题”。由于球的几何结构及其上拉普拉斯特征值的良好性质，如果选择适当的角速度，可以以可控的方式进行积累。然后我们通过纳什-莫泽型迭代定理来解决这个问题。

引用次数: 0

Mathematical analysis of subwavelength resonant acoustic scattering in multi-layered high-contrast structures 多层高对比度结构中亚波长共振声散射的数学分析

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations

Pub Date : 2026-01-23 DOI: 10.1016/j.jde.2026.114133

Youjun Deng , Lingzheng Kong , Yongjian Liu , Liyan Zhu

Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions to the mathematical analysis of subwavelength resonances in a structure of N-layer nested resonators. Firstly, based on the Dirichlet-to-Neumann approach, we reduce the solution of the acoustic scattering problem to an N-dimensional linear system, and derive the optimal asymptotic characterization of subwavelength resonant frequencies in terms of the eigenvalues of an

N \times N

tridiagonal matrix, which we refer to as the generalized capacitance matrix. Moreover, we provide a modal decomposition formula for the scattered field, as well as a monopole approximation for the far-field pattern of the acoustic wave scattered by the N-layer nested resonators. Finally, some numerical results are presented to corroborate the theoretical findings.

多层结构被广泛应用于超材料器件的构建，以实现各种尖端波导应用。本文对n层嵌套谐振器结构中亚波长共振的数学分析做出了一些贡献。首先，基于Dirichlet-to-Neumann方法，我们将声散射问题的解简化为n维线性系统，并根据N×N三对角矩阵的特征值推导出亚波长谐振频率的最优渐近表征，我们将其称为广义电容矩阵。此外，我们还提供了散射场的模态分解公式，以及n层嵌套谐振器散射声波远场图形的单极子近似。最后，给出了一些数值结果来证实理论结果。

引用次数: 0

首页上一页

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Journal of Differential Equations

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀