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.
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页码：671 / 686
页数：16
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