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Multiple solutions to a Neumann problem with p(x)-Laplacian

N. Benouhiba|Amina Bounouala
장전수학회 (Jangjeon Mathematical Society)|2014.04|Advanced Studies in Contemporary Mathematics|제24권 제2호|pp. 205-215

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참고문헌

키워드

Weak solutionp(x)-LaplacianVariable exponent lebesgue-sobolev spacepalais-smale condition
주제분류수학

초록

In this paper we consider a boundary value problem for the p(x)-Laplacian under nonlinear Neumann type boundary condition. We establish the existence of a global minimum for the Euler-Lagrange energy. A second weak solutions is obtained by the Mountain Pass Theorem.

Abstract

In this paper we consider a boundary value problem for the p(x)-Laplacian under nonlinear Neumann type boundary condition. We establish the existence of a global minimum for the Euler-Lagrange energy. A second weak solutions is obtained by the Mountain Pass Theorem.

참고문헌 (13)

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