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Positive solutions for P-Laplace problems with nonlinear time-fractional differential equation

Positive solutions for P-Laplace problems with nonlinear time-fractional differential equation

Abstract In this paper, we study the existence and multiplicity of positive solutions for semi-linear elliptic equations with a sign-changing weight function in weighted Sobolev spaces. By investigating the compact embedding theorem and based on the extraction of the Palais-Smale sequence in the Nehari manifold which is a subset of …