Journal ArticleOPEN ACCESS

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
48Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

This article is free to access.

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.

Author supplied keywords

Cite

CITATION STYLE

APA

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

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free