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Palatucci, A. and Pisante, G. (2014) Improved Sobolev Embeddings, Profile Decomposition and Concentration-Compactness for Fractional Sobolev Spaces. Calculus of Variations and Partial Differential Equations, 50, 799-829.

has been cited by the following article:

• TITLE: The Existence of Solution of a Critical Fractional Equation

  AUTHORS: Hui Chen

  KEYWORDS: Variational Approach, Fractional Laplacian, Minimax Principle, Genus

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.1, January 31, 2019

  ABSTRACT: In this paper, we study the existence of solution of a critical fractional equation; we will use a variational approach to find the solution. Firstly, we will find a suitable functional to our problem; next, by using the classical concept and properties of the genus, we construct a mini-max class of critical points.