Pub Date : 2024-05-29DOI: 10.1080/00036811.2024.2356644
Xiaoda Xu, Jun Xian
In this paper, we consider the estimation of the weighted star discrepancy. A better weighted probabilistic star discrepancy bound than the use of plain Monte Carlo point sets is provided in terms ...
{"title":"Probabilistic weighted star discrepancy bound based on the general equal measure partition","authors":"Xiaoda Xu, Jun Xian","doi":"10.1080/00036811.2024.2356644","DOIUrl":"https://doi.org/10.1080/00036811.2024.2356644","url":null,"abstract":"In this paper, we consider the estimation of the weighted star discrepancy. A better weighted probabilistic star discrepancy bound than the use of plain Monte Carlo point sets is provided in terms ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"138 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523200","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 : 2024-05-29DOI: 10.1080/00036811.2024.2356660
Brahim Dridi, Rached Jaidane, Oussama Dammak
In this article, we delve into the investigation of the following non-local problem within the unit ball B1 of R4: g(∫B1wβ(x)|Δu|2)Δwβ2u=|u|q−2u+f(x,u)inB1,u=∂nu=0on∂B1, where Δwβ2.=Δ(wβ(x)Δ.) is ...
{"title":"Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach","authors":"Brahim Dridi, Rached Jaidane, Oussama Dammak","doi":"10.1080/00036811.2024.2356660","DOIUrl":"https://doi.org/10.1080/00036811.2024.2356660","url":null,"abstract":"In this article, we delve into the investigation of the following non-local problem within the unit ball B1 of R4: g(∫B1wβ(x)|Δu|2)Δwβ2u=|u|q−2u+f(x,u)inB1,u=∂nu=0on∂B1, where Δwβ2.=Δ(wβ(x)Δ.) is ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"47 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141531758","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 : 2024-05-17DOI: 10.1080/00036811.2024.2353732
Dirk Hennig
We consider damped and forced discrete nonlinear Schrödinger equations on the lattice Z. First we establish the existence of a global uniform attractor for the dissipative dynamics of the system. F...
我们考虑了网格 Z 上的阻尼和强迫离散非线性薛定谔方程。首先，我们确定了系统耗散动力学的全局均匀吸引子的存在性。F...
{"title":"Exponentially stable breather solutions in nonautonomous dissipative nonlinear Schrödinger lattices","authors":"Dirk Hennig","doi":"10.1080/00036811.2024.2353732","DOIUrl":"https://doi.org/10.1080/00036811.2024.2353732","url":null,"abstract":"We consider damped and forced discrete nonlinear Schrödinger equations on the lattice Z. First we establish the existence of a global uniform attractor for the dissipative dynamics of the system. F...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"63 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167112","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 : 2024-05-10DOI: 10.1080/00036811.2024.2351469
Yang Yu, Yulin Zhao, Chaoliang Luo
This paper deals with a singular biharmonic equations with p-Laplacian and Hardy potential. Using Mountain Pass Theorem and Fountain Theorem with Cerami condition, we obtain the existence and multi...
{"title":"New results concerning a singular biharmonic equations with p-Laplacian and Hardy potential","authors":"Yang Yu, Yulin Zhao, Chaoliang Luo","doi":"10.1080/00036811.2024.2351469","DOIUrl":"https://doi.org/10.1080/00036811.2024.2351469","url":null,"abstract":"This paper deals with a singular biharmonic equations with p-Laplacian and Hardy potential. Using Mountain Pass Theorem and Fountain Theorem with Cerami condition, we obtain the existence and multi...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"23 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934570","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 : 2024-05-08DOI: 10.1080/00036811.2024.2346275
Weishi Yin, Xingyu Shi, Pinchao Meng, Fuheng Qu
In this paper, the problem of acoustic wave scattering by obstacles in the two-dimensional inhomogeneous medium is considered. When the refractive index is a binary function, a hybrid method for re...
{"title":"Research on recovering scattering obstacles in inhomogeneous medium based on Bayesian method","authors":"Weishi Yin, Xingyu Shi, Pinchao Meng, Fuheng Qu","doi":"10.1080/00036811.2024.2346275","DOIUrl":"https://doi.org/10.1080/00036811.2024.2346275","url":null,"abstract":"In this paper, the problem of acoustic wave scattering by obstacles in the two-dimensional inhomogeneous medium is considered. When the refractive index is a binary function, a hybrid method for re...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"188 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934508","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 : 2024-05-08DOI: 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":"112 1","pages":""},"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":"30 1","pages":""},"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":"21 1","pages":""},"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":"103 1","pages":""},"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":"11 1","pages":""},"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}
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