Calculus of Variations and Geometric Measure Theory
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L. Faria - O. Miyagaki - F. Pereira - M. Squassina - C. Zhang

The Brezis-Nirenberg problem for nonlocal systems

created by squassina on 26 Aug 2015


Accepted Paper

Inserted: 26 aug 2015
Last Updated: 26 aug 2015

Journal: Advances in Nonlinear Analysis
Year: 2015


By means of variational methods we investigate existence, non-existence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and interacting, in a suitable sense, with the spectrum of the operator.

Keywords: fractional systems, Brezis-Nirenberg problem


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