The Nehari manifold for fractional systems involving critical nonlinearities
Copyright policy )The Nehari manifold for fractional systems involving critical nonlinearities
We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents. With the help of the Nehari manifold, we prove that the system admits at least two positive solutions when the pair of parameters $(λ,μ)$ belongs to a suitable subset of $\R^2$.
To appear in Commun. Pure Applied Anal
- Catholic University of the Sacred Heart Italy
- University of Verona Italy
- Department of Mathematical Sciences Russian Federation
Nehari manifold, Smoothness and regularity of solutions to PDEs, Nehari manifold technique, concave-convex nonlinearities, Variational methods for elliptic systems, fractional systems, Fractional systems, Mathematics - Analysis of PDEs, fractional systems, Nehari manifold, 47G20, 35J50, 35B65, FOS: Mathematics, Integro-differential operators, Analysis of PDEs (math.AP)
Nehari manifold, Smoothness and regularity of solutions to PDEs, Nehari manifold technique, concave-convex nonlinearities, Variational methods for elliptic systems, fractional systems, Fractional systems, Mathematics - Analysis of PDEs, fractional systems, Nehari manifold, 47G20, 35J50, 35B65, FOS: Mathematics, Integro-differential operators, Analysis of PDEs (math.AP)
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