Existence of positive solutions for a class of p-Laplacian type generalized quasilinear Schrodinger equations with critical growth and potential vanishing at infinity

被引：2

作者：

Li, Zhen ^{[1
]}

机构：

[1] Jiangxi Tech Coll Mfg, Nanchang 330095, Jiangxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2023年 / 03期

关键词：

generalized quasilinear Schr?dinger equation; positive solutions; critical growth; p-Laplacian; GROUND-STATE SOLUTIONS; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; NODAL SOLUTIONS;

D O I：

10.14232/ejqtde.2023.1.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrodinger equation- div(gp(u) |V u |p-2V u) + gp-1(u)g '(u) | V u |p + V(x) | u |p-2u = K(x)f(u) + Q(x)g(u)|G(u) |p*-2G(u), x E RN,where N > 3, 1 < p < N, p* = N p N-p , g E C1(R,R+), V(x) and K(x) are positive con-tinuous functions and G(u) = f0u g(t)dt. By using a change of variable, we obtain the existence of positive solutions for this problem by using the Mountain Pass Theorem. Our results generalize some existing results.

引用

页码：1 / 20

页数：20

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