Article ID Journal Published Year Pages File Type
4628415 Applied Mathematics and Computation 2014 11 Pages PDF
Abstract

In this paper, we deal with multiplicity of solutions of a class of sublinear Schrödinger–Maxwell equations-Δu+V(x)u+ϕu=f(x,u),inR3,-Δϕ=u2,lim|x|→∞ϕ(x)=0,inR3.Under more relaxed assumptions on V and f, we establish some existence criteria to guarantee that the above problem has at least one or infinitely many nontrivial solutions by using the genus properties in critical theory.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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