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arXiv · 1607.00614

Critical nonlocal systems with concave-convex powers

Wenjing Chen·Marco Squassina
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Abstract

By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional $p$-Laplacian system involving critical concave-convex nonlinearities provided that a suitable smallness condition on the parameters involved is assumed. The result is obtained despite there is no general classification for the optimizers of the critical fractional Sobolev embedding.

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Wenjing Chen, Marco Squassina. 2016-07-03. Critical nonlocal systems with concave-convex powers. https://arxiv.org/abs/1607.00614

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