Existence of solutions to a class of asymptotically linear Schrodinger equations in Rn via the Pohozaev manifold

被引：17

作者：

Carriao, Paulo Cesar ^{[1
]}

Lehrer, Raquel ^{[2
]}

Miyagaki, Olimpio Hiroshi ^{[3
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil

[2] Univ Estadual Oeste Parana UNIOESTE, Ctr Ciencias Exatas & Tecnol CCET, BR-85819110 Cascavel, Parana, Brazil

[3] Univ Fed Juiz de Fora, Dept Matemat, BR-36036330 Juiz De Fora, MG, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 428卷 / 01期

关键词：

Asymptotic behavior; Pohozaev manifold; Positive solution; Schrodinger equation; Variational method; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; EXPONENT;

D O I：

10.1016/j.jmaa.2015.02.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we investigate the nonexistence of a least energy solution and the existence of a positive solution for a class of nonhomogeneous asymptotically linear Schrodinger equations in R-n via the Pohozaev manifold. After changing the variables, the quasilinear operator becomes a semilinear nonhomogeneous operator. The technique used employs variational methods that are constrained to the Pohozaev manifold, which are combined with the splitting lemma. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：165 / 183

页数：19

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