Existence of three nontrivial solutions for semilinear elliptic equations on R^N

Abstract

We establish the existence theorem of three nontrivial solutions for a class of semilinear elliptic equation on ℝ^N by using variational theorems of mixed type due to Marino and Saccon and linking theorem.

Keywords

Schrödinger equation / ∇-condition / linking / superlinear

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