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

Nonlinear Differential Equations and Applications (2018) 25(6)
DOI: 10.1007/s00030-018-0543-5
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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 Rn.

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Bonder, J. F., Saintier, N., & Silva, A. (2018). The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem. Nonlinear Differential Equations and Applications, 25(6). https://doi.org/10.1007/s00030-018-0543-5

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