Multiple positive solutions for a fractional elliptic systems involving sign-changing weight
Keywords
Nehari manifold, fractional elliptic system, Lusternik-Schnirelmann category, multiple positive solutionsAbstract
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 $h$.References
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