Quasilinear Schrodinger Equations with Asymptotically Linear Nonlinearities

被引：0

作者：

Furtado, Marcelo F. ^{[1
]}

Silva, Edcarlos D. ^{[2
]}

Silva, Maxwell L. ^{[2
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[2] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go, Brazil

来源：

ADVANCED NONLINEAR STUDIES | 2014年 / 14卷 / 03期

关键词：

Schrodinger equation; quasilinear equations; asymptotically linear equations; coercive problems; SOLITON-SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the existence of nonzero solution for the quasilinear Schrodinger equation -Delta u + V(x)u - Delta(u(2))u = g(x, u), x is an element of R-N, u is an element of H-1(R-N), where V is a positive potential and the nonlinearity g(x, s) behaves like K-0(x)s at the origin and like K-infinity(x)vertical bar s vertical bar(p), 1 <= p <= 3, at infinity. In the proofs we apply minimization methods.

引用

页码：671 / 686

页数：16

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