Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem
Fariba Gharehgazlouei, John R. Graef, Shapour Heidarkhani, Lingju Kong
Abstract
In this article, the authors consider a fractional p-Laplacian elliptic Dirichlet problem. Using critical point theory and the variational method, they investigate the existence of at least one, two, and three solutions to the problem. Examples illustrating the results are interspaced in the paper.
Topics & Concepts
MathematicsDirichlet problemFractional Laplacianp-LaplacianMultiplicity (mathematics)Applied mathematicsDirichlet distributionPure mathematicsMathematical analysisBoundary value problemNonlinear Partial Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering