Pub Date : 2024-05-08DOI: 10.1080/00036811.2024.2348666
Edcarlos D. da Silva, Marlos R. Rocha, Jefferson S. Silva
It is establish existence and multiplicity of solutions for nonlocal elliptic problems where the nonlinearity is driven by two convolutions terms. More specifically, we shall consider the following...
{"title":"Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities","authors":"Edcarlos D. da Silva, Marlos R. Rocha, Jefferson S. Silva","doi":"10.1080/00036811.2024.2348666","DOIUrl":"https://doi.org/10.1080/00036811.2024.2348666","url":null,"abstract":"It is establish existence and multiplicity of solutions for nonlocal elliptic problems where the nonlinearity is driven by two convolutions terms. More specifically, we shall consider the following...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-27DOI: 10.1080/00036811.2024.2345722
Leandro C. Paes-Leme, Bruno M. Rodrigues, Gustavo de Souza, Fernando L. P. Oliveira
In this paper, we consider the following Kirchhoff type problem with critical growth: {−(a+b∫RN|∇u|2dx)Δu=λk(x)|u|q−2u+μ|u|2∗−2u,x∈RN,u∈D1,2(RN), where N≥3, a≥0, b>0, 10, 2∗=2NN−2 is the...
{"title":"Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝN","authors":"Leandro C. Paes-Leme, Bruno M. Rodrigues, Gustavo de Souza, Fernando L. P. Oliveira","doi":"10.1080/00036811.2024.2345722","DOIUrl":"https://doi.org/10.1080/00036811.2024.2345722","url":null,"abstract":"In this paper, we consider the following Kirchhoff type problem with critical growth: {−(a+b∫RN|∇u|2dx)Δu=λk(x)|u|q−2u+μ|u|2∗−2u,x∈RN,u∈D1,2(RN), where N≥3, a≥0, b>0, 1<q<2, λ,μ>0, 2∗=2NN−2 is the...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140838515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-27DOI: 10.1080/00036811.2024.2341789
Yao Shi, Xiongxiong Bao
In this paper, we study a system of reaction–diffusion equations arising from the competition of two competing species for a single limited nutrient with flocculation in an unstirred chemostat. By ...
{"title":"Global structure of competing model with flocculation in a reaction–diffusion chemostat","authors":"Yao Shi, Xiongxiong Bao","doi":"10.1080/00036811.2024.2341789","DOIUrl":"https://doi.org/10.1080/00036811.2024.2341789","url":null,"abstract":"In this paper, we study a system of reaction–diffusion equations arising from the competition of two competing species for a single limited nutrient with flocculation in an unstirred chemostat. By ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140838510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-27DOI: 10.1080/00036811.2024.2344834
Fan Wu, Manman Yang, Li Ma
In this paper, we consider an initial–boundary value problem (IBVP) of a coupled Cahn–Hilliard-phase-field-crystal (CH-PFC) system subject to homogeneous Neumann boundary conditions in one spatial ...
{"title":"Solutions to a coupled Cahn–Hilliard-phase-field-crystal model for grain boundary motion","authors":"Fan Wu, Manman Yang, Li Ma","doi":"10.1080/00036811.2024.2344834","DOIUrl":"https://doi.org/10.1080/00036811.2024.2344834","url":null,"abstract":"In this paper, we consider an initial–boundary value problem (IBVP) of a coupled Cahn–Hilliard-phase-field-crystal (CH-PFC) system subject to homogeneous Neumann boundary conditions in one spatial ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140838606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-27DOI: 10.1080/00036811.2024.2344823
Fábio Natali, Thiago Pinguello de Andrade
In this article, we investigate the spectral stability of periodic traveling waves for a cubic-quintic and double dispersion equation. Using the quadrature method, we find explict periodic waves an...
{"title":"Spectral stability of periodic traveling wave solutions for a double dispersion equation","authors":"Fábio Natali, Thiago Pinguello de Andrade","doi":"10.1080/00036811.2024.2344823","DOIUrl":"https://doi.org/10.1080/00036811.2024.2344823","url":null,"abstract":"In this article, we investigate the spectral stability of periodic traveling waves for a cubic-quintic and double dispersion equation. Using the quadrature method, we find explict periodic waves an...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140838938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-23DOI: 10.1080/00036811.2024.2341800
A. Al-izeri, K. Latrach
{"title":"Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in\u0000 L\u0000 \u0000 p\u0000 \u0000 -spaces","authors":"A. Al-izeri, K. Latrach","doi":"10.1080/00036811.2024.2341800","DOIUrl":"https://doi.org/10.1080/00036811.2024.2341800","url":null,"abstract":"","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140670330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-10DOI: 10.1080/00036811.2024.2339273
Xiao-Ping Chen, Chun-Lei Tang
In this paper, we are paid attention to the following logarithmic Choquard equation −Δu+u=[I2∗F(u)]f(u),x∈R2, where I2=12πln1|x| is the Newtonian kernel in dimension 2, F(u)=∫0uf(t)dt and f∈C1(R,...
{"title":"A logarithmic Choquard equation with critical exponential growth in ℝ2","authors":"Xiao-Ping Chen, Chun-Lei Tang","doi":"10.1080/00036811.2024.2339273","DOIUrl":"https://doi.org/10.1080/00036811.2024.2339273","url":null,"abstract":"In this paper, we are paid attention to the following logarithmic Choquard equation −Δu+u=[I2∗F(u)]f(u),x∈R2, where I2=12πln1|x| is the Newtonian kernel in dimension 2, F(u)=∫0uf(t)dt and f∈C1(R,...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140584980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-02DOI: 10.1080/00036811.2024.2334758
Lin Yang, Dinghua Xu
The reaction-diffusion equations have been studied in various aspects of nature, such as heat transfer and biological dynamic modelling. In this paper, we study a nonlocal reaction-diffusion model ...
{"title":"An inverse problem for nonlocal reaction-diffusion equations with time-delay","authors":"Lin Yang, Dinghua Xu","doi":"10.1080/00036811.2024.2334758","DOIUrl":"https://doi.org/10.1080/00036811.2024.2334758","url":null,"abstract":"The reaction-diffusion equations have been studied in various aspects of nature, such as heat transfer and biological dynamic modelling. In this paper, we study a nonlocal reaction-diffusion model ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140584979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-29DOI: 10.1080/00036811.2024.2334755
Shi-Yi Lan, Su-Yang Li
By constructing a suitable holomorphic vector field for a finitely connected domain we derive that any Jordan arc in a strip standard slit domain D starting on the real axis can be described throug...
通过为有限连接域构建一个合适的全态矢量场，我们推导出，以实轴为起点的带状标准狭缝域 D 中的任何约旦弧都可以通过......
{"title":"Dipolar Komatu–Loewner differential equation","authors":"Shi-Yi Lan, Su-Yang Li","doi":"10.1080/00036811.2024.2334755","DOIUrl":"https://doi.org/10.1080/00036811.2024.2334755","url":null,"abstract":"By constructing a suitable holomorphic vector field for a finitely connected domain we derive that any Jordan arc in a strip standard slit domain D starting on the real axis can be described throug...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140322827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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