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Multiplicity of Solutions for Schrödinger Equations with Concave-Convex Nonlinearities
Author(s) -
DongLun Wu,
ChunLei Tang,
Xing-Ping Wu
Publication year - 2016
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2016/8350396
Subject(s) - algorithm , computer science
We study the multiplicity of solutions for a class of semilinear Schrödinger equations: -Δu+V(x)u=gx,u,  for  x∈RN;  u(x)→0,  as  u→∞, where V satisfies some kind of coercive condition and g involves concave-convex nonlinearities with indefinite signs. Our theorems contain some new nonlinearities

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