Quasilinear Schrodinger equations with unbounded or decaying potentials

被引：8

作者：

Severo, Uberlandio B. ^{[1
]}

de Carvalho, Gilson M. ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

来源：

MATHEMATISCHE NACHRICHTEN | 2018年 / 291卷 / 2-3期

关键词：

Quasilinear Schrodinger equations; unbounded or decaying potentials; weighted Orlicz Space; SCALAR FIELD-EQUATIONS; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; PERTURBATION METHOD; POSITIVE SOLUTIONS; RADIAL POTENTIALS; CRITICAL GROWTH; GROUND-STATES; R-N; EXISTENCE;

D O I：

10.1002/mana.201600028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of nonnegative and nonzero solutions for the following class of quasilinear Schrodinger equations: {-Delta u + v (vertical bar x vertical bar)u - [Delta(u(2))]u = Q(vertical bar x vertical bar)g(u), x is an element of R-N, u(x) -> 0 as vertical bar x vertical bar -> infinity, where V and Q are potentials that can be singular at the origin, unbounded or vanishing at infinity. In order to prove our existence result we used minimax techniques in a suitable weighted Orlicz space together with regularity arguments and we need to obtain a symmetric criticality type result.

引用

页码：492 / 517

页数：26

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