{"title":"准线性薛定谔-泊松系统符号变化解的存在性和多重性","authors":"Xin Du, Chun-Lei Tang","doi":"10.1080/17476933.2024.2372100","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the quasilinear Schrödinger–Poisson system {−Δu+V(x)u+ϕu−[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,−Δϕ=u2inR3, where V is a given coercive potential and the nonlinearity include...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system\",\"authors\":\"Xin Du, Chun-Lei Tang\",\"doi\":\"10.1080/17476933.2024.2372100\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the quasilinear Schrödinger–Poisson system {−Δu+V(x)u+ϕu−[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,−Δϕ=u2inR3, where V is a given coercive potential and the nonlinearity include...\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/17476933.2024.2372100\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2372100","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中，我们考虑了准线性薛定谔-泊松系统 {-Δu+V(x)u+ϕu-[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,-Δϕ=u2inR3, 其中 V 是给定的强制势，非线性包括...
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system
In this paper, we consider the quasilinear Schrödinger–Poisson system {−Δu+V(x)u+ϕu−[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,−Δϕ=u2inR3, where V is a given coercive potential and the nonlinearity include...
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