Abstract
Abstract
The paper focuses on a class of fractional elliptic system with critical Sobolev exponents, where there is no compact embedding under proper assumptions on potential functions. The proof of the existence results mainly relies on concentration-compactness principle of fractional Sobolev space and genus theory.
Subject
General Physics and Astronomy
Reference6 articles.
1. Existence and multiplicity of nontrivial solutions in semilinear critical problems of four order;Bernis;Adv. Differential Equations,1996
2. Infinitely many solutions for Schrüdinger-Kirchhoff type equations involving the fractional p−Laplaican and critical exponent;Wang;Electron. J. Differential Equations.,2016
3. A nonhomogeneous fractional p−Kirchhoff type problem involving criticial exponent in N R;Xiang;Adv. Nonlinear Stud.,2017
4. A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations;Kajikiya;J. Funct. Anal.,2005
5. Quasilinear elliptic systems with critical Sobolev exponents in N R;Djellit;Nonlinear Anal.,2007