Ground state solution for the Schrodinger equation with Hardy potential and critical Sobolev exponent

被引：0

作者：

Zhang, Jing ^{[1
]}

Li, Lin ^{[2
,3
]}

机构：

[1] Inner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R China

[2] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

[3] Chongqing Technol & Business Univ, Chongqing Key Lab Social Econ & Appl Stat, Chongqing 400067, Peoples R China

来源：

ASYMPTOTIC ANALYSIS | 2022年 / 129卷 / 3-4期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Schrodinger equation; generalized Nehari manifold; asymptotically periodic; SIGN-CHANGING SOLUTIONS; ELLIPTIC PROBLEMS; EXISTENCE;

D O I：

10.3233/ASY-211737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following Schrodinger equation {-Delta u - mu u/vertical bar x vertical bar(2) + V(x)u = K(x)vertical bar u vertical bar(2)*(-2)u + f(x, u), x is an element of R-N, u is an element of H-1 (R-N), where N >= 4, 0 <= mu < <(mu)over bar>, (mu) over bar = (N-2)(2)/4, V is periodic in x, K and f are asymptotically periodic in x, we take advantage of the generalized Nehari manifold approach developed by Szulkin and Weth to look for the ground state solution of (0.1).

引用

页码：485 / 503

页数：19

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