The Ground State Solutions for Kirchhoff-Schrodinger Type Equations with Singular Exponential Nonlinearities in Double-struck capital RN

被引：1
|
作者：
Liu, Yanjun [1 ]
Liu, Chungen [2 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2022年 / 43卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Ground state solutions; Singular elliptic equations; Critical exponential growth; Kirchhoff-Schrodinger equations; Singular Trudinger-Moser inequality; LINEAR ELLIPTIC EQUATION; CRITICAL GROWTH; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTION; MULTIPLE SOLUTIONS; EXISTENCE; INEQUALITIES;
D O I：
10.1007/s11401-022-0345-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors consider the following singular Kirchhoff-Schrodinger problem M(integral(N)(R) |del u|(N) + V (x)|u|(N) dx) (-del(N)u + V (x)|u|(N -2) u) = f (x, u)/|x|(eta) in R-N, (P eta) where 0 < eta < N, M is a Kirchhoff-type function and V (x) is a continuous function with positive lower bound, f (x, t) has a critical exponential growth behavior at infinity. Combining variational techniques with some estimates, they get the existence of ground state solution for (P eta). Moreover, they also get the same result without the A-R condition.
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页码：549 / 566
页数：18
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