EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC FIELD EQUATION ON RN

被引：1

作者：

Alves, Claudianor O. ^{[1
]}

dos Santos, Alan C. B. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat UAMat, BR-58429900 Campina Grande, PB, Brazil

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2018年 / 24卷 / 03期

关键词：

Nonlinear elliptic equations; variational methods; STATES;

D O I：

10.1051/cocv/2017045

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we establish existence and multiplicity of solutions for the following class of quasilinear field equation -Delta u + v(x)u - Delta(p)u +W' (u) = 0, in R-N, where u = (u(1), u(2), . . . ,u(N+1)), p > N >= 2, W is a singular function and V is a positive continuous function.

引用

页码：1231 / 1248

页数：18

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