Institution

University of North Carolina at Greensboro

Abstract

We discuss the existence of positive solutions to nonlinear fractional Laplacian problems with Dirichlet external condition. We use degree theory combined with a re-scaling technique to show the existence of positive weak solutions for a class of superlinear problem when the bifurcation parameter is small.

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Solutions for a Class of Fractional Laplacian Problems

We discuss the existence of positive solutions to nonlinear fractional Laplacian problems with Dirichlet external condition. We use degree theory combined with a re-scaling technique to show the existence of positive weak solutions for a class of superlinear problem when the bifurcation parameter is small.