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arXiv · 1802.09322

The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem

Julián Fernández Bonder·Nicolas Saintier·Analía Silva
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Abstract

In this paper we extend the well-known concentration -- compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional $p-$laplacian in the whole ${\mathbb R}^n$.

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Julián Fernández Bonder, Nicolas Saintier, Analía Silva. 2018-02-26. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem. https://arxiv.org/abs/1802.09322

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