Abstract
In this paper, we study the existence of multiple nontrivial solutions for the following semilinear Schrödinger equation: where the potential V is continuous and allowed to be sign‐changing and f(x,u) satisfies more general sublinear growth conditions than those in previous studies. The first result of this paper obtains the existence of a nontrivial solution of (1). The second establishes an existent result on infinitely many nontrivial solutions of (1) by using a variant fountain theorems.
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