Article ID Journal Published Year Pages File Type
1707883 Applied Mathematics Letters 2014 5 Pages PDF
Abstract

We consider a Schrödinger–Poisson system in R3R3 with potential indefinite in sign and a general 4-sublinear nonlinearity. Its variational functional does not satisfy the Palais–Smale condition in general. We use a finite-dimensional approximation method to obtain a sequence of approximate solutions. Then we prove that these approximate solutions converge weakly to a nontrivial solution of this system.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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