SOLUTION FOR STEKLOV BOUNDARY VALUE PROBLEM INVOLVING THE P(X)- LAPLACIAN OPERATORS

Year 2022, Volume: 8 Issue: 2, 112 - 121, 31.12.2022

Zehra Yücedağ , Vahup Murad

https://doi.org/10.51477/mejs.1062646

Abstract

In this paper, we concerned with Steklov boundary value problem involving - Laplacian operator. By means of the Mountain Pass theorem together with Ambrosetti- Rabinowitz condition, we prove the existence nontrivial weak of solutions in Sobolev spaces with variable exponent under appropriate conditions on f(x,u) .

Keywords

Variable exponent Lebesgue-Sobolev spaces, variational methods, Ambrosetti- Rabinowitz condition

Supporting Institution

yok

Project Number

-

Thanks

-

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