Solutions of nonlinear problems involving p ( x )-Laplacian operator Article Swipe

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Mountain pass theorem p-Laplacian Mathematics Sobolev space Laplace operator Nonlinear system Multiplicity (mathematics) Mountain pass Mathematical analysis Pure mathematics Operator (biology) Mathematical physics Physics Quantum mechanics Chemistry Biochemistry Repressor Transcription factor Gene Boundary value problem

Zehra Yücedağ ·

YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.1515/anona-2015-0044 · OA: W2566055530

In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p ( x )-Laplacian. The problem is settled in the variable exponent Sobolev space W 0 1, p ( x ) (Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.