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

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Middle East Journal of Science
Volume:8 Issue:2
SOLUTION FOR STEKLOV BOUNDARY VALUE PROBLEM INVOLVING THE P(X)- LAPLACIAN OPERATORS

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

Authors : Zehra YÜCEDAĞ, Vahup MURAD

Pages : 112-121

Doi:10.51477/mejs.1062646

View : 37 | Download : 10

Publication Date : 2022-12-31

Article Type : Research Paper

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 finsert ignore into journalissuearticles values(x,u); .
Keywords : Variable exponent Lebesgue Sobolev spaces, variational methods, Ambrosetti Rabinowitz condition

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