{"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}
{"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}
{"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}
{"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}
Edcarlos D. da Silva, Marlos R. Rocha, Jefferson S. Silva
{"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}
Leandro C. Paes-Leme, Bruno M. Rodrigues, Gustavo de Souza, Fernando L. P. Oliveira
{"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}
{"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}
{"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}
{"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}
{"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":"60 1","pages":""},"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}