The Effect of Topology on the Number of Positive Solutions for Fractional Elliptic Equations with Critical and Singular Nonlinearity
摘要
Using the Nehari manifold and Lusternik–Schnirelmann category theory to an auxiliary problem, we study the effect of the coefficient of the critical nonlinearity on the existence and multiplicity of positive solutions for a class of singular elliptic fractional equation with critical growth in a bounded domain.