Infinitely Many Solutions for Schrödinger-Poisson Systems and Schrödinger-Kirchhoff Equations

被引：0

作者：

Liu, Shibo ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math & Syst Engn, Melbourne, FL 32901 USA

来源：

MATHEMATICS | 2024年 / 12卷 / 14期

关键词：

Schr & ouml; dinger equations; Clark's theorem; truncation method; Palais-Smale condition; SCHRODINGER-POISSON SYSTEM;

D O I：

10.3390/math12142233

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By applying Clark's theorem as altered by Liu and Wang and the truncation method, we obtain a sequence of solutions for a Schr & ouml;dinger-Poisson system -Delta u+V(x)u+phi u=f(u)inR3,-Delta phi=u2inR3 with negative energy. A similar result is also obtained for the Schr & ouml;dinger-Kirchhoff equation as follows:-1+integral RN del u2 Delta u+V(x)u=f(u)u is an element of H1(RN).

引用

页数：7

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