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- MakaleAçık Erişim2017Scopus SJRQ3Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory
Ayazoglu Mashiyev, Rabil; Ekincioglu, Ismail; Alisoy, Gulizar
In this paper, we deal with the following p(x)-Schrödinger problem: (Formula Presented) where the nonlinearity is sublinear. We present the existence of infinitely many solutions for the problem. The main tool used here is a variational method and Krasnoselskii’s genus theory combined with the theory of variable exponent Sobolev spaces. We also establish a Bartsch-Wang type compact embedding theorem for the variable exponent spaces.
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