Yazar "Alisoy G." seçeneğine göre listele
Listeleniyor 1 - 3 / 3
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe Existence of one weak solution for p(X)-biharmonic equations involving a concave-convex nonlinearity(Drustvo Matematicara Srbije, 2017) Mashiyev R.A.; Alisoy G.; Ekincioglu I.In the present paper, using variational approach and the theory of the variable exponent Lebesgue spaces, the existence of nontrivial weak solutions to a fourth order elliptic equation involving a p(x)-biharmonic operator and a concave-convex nonlinearity the Navier boundary conditions is obtained. © 2017, Drustvo Matematicara Srbije. All rights reserved.Öğe Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth(Taylor and Francis Ltd., 2018) Ayazoglu (Mashiyev) R.; Alisoy G.In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in ?N involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces. © 2017 Informa UK Limited, trading as Taylor & Francis Group.Öğe Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory(University of Szeged, 2017) Ayazoglu Mashiyev R.; Ekincioglu I.; Alisoy G.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. © 2017, University of Szeged. All rights reserved.
