Jeziel N. Correia, Claudionei P. Oliveira
Abstract:
In this article, we show the existence of positive solution to the nonlocal system
We also prove a global compactness result for the associated energy functional
similar to that due to Struwe in [26].
The basic tools are some information from a limit system
with a(x) = b(x) = 0, a variant of the Lion's principle of concentration
and compactness for fractional systems, and Brouwer degree theory.
Submitted March 29, 2022. Published November 22, 2022.
Math Subject Classifications: 35J20, 35J47, 35J50, 35J91.
Key Words: Fractional Laplacian; concentration-compactness; critical nonlinearity global compactness.
Show me the PDF file (495 KB), TEX file for this article.
 |
Jeziel N. Correia Departamento de Matemètica Universidade Federal do Parè Salinèpolis, CEP 68721-000, Brazil email: Jeziel@ufpa.br |
|---|---|
 |
Claudionei P. Oliveira Faculdade de Matemètica Universidade Federal do Sul e Sudeste do Parè Marabè, CEP 68507-590, Brazil email: clauunifesspa@unifesspa.edu.br |
Return to the EJDE web page