Abstract
We study multiplicity results for positive solutions for a fractional elliptic system involving both concave-convex and critical growth terms. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we investigate how the coefficient $h$ of the critical nonlinearity affects the number of positive solutions to this problem and get a relationship between the number of positive solutions and the topology of the global maximum set of $h$.
Citation
Haining Fan. "Multiple positive solutions for fractional elliptic systems involving sign-changing weight." Topol. Methods Nonlinear Anal. 49 (2) 757 - 781, 2017. https://doi.org/10.12775/TMNA.2017.009
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