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THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION
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In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.
Abstract
In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.
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관련 논문AI추천
MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITION김찬균, Jun Zhou대한수학회 · 대한수학회보2014 · 제51권 제1호Existence of a positive infimum eigenvalue for the p(x)-Laplacian Neumann problems with weighted functions김연호강원경기수학회 · 한국수학논문집2014 · 제22권 제3호Multiple solutions to a Neumann problem with p(x)-LaplacianAmina Bounouala, N. Benouhiba장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호EXISTENCE OF THREE SOLUTIONS FOR EQUATIONS OF p(x)-LAPLACE TYPE김연호, 이승대장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호Multiple solutions for equations of $p(x)$-Laplace type with nonlinear Neumann boundary condition김윤호, 박기섭대한수학회 · 대한수학회보2016 · 제53권 제6호MULTIPLICITY OF POSITIVE SOLUTIONS TO SCHRO\"DINGER-TYPE p-LAPLACIAN PROBLEMS고은경영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호
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