Ayazoglu, Rabil; Saraç, Yeşim; Şener, S. Şule; Alisoy, Gülizar

In this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent.

AtıfScopus21·WoS22·OpenAlex22

İncele

Mashiyev, Rabil Ayazoglu; Alisoy, Gülizar; Ekincioglu, Ismail

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.

AtıfScopus10

İncele