The Existence of Solution of a Critical Fractional Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.1, January 2019

The Existence of Solution of a Critical Fractional Equation ()

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Download as PDF (Size: 409KB) PP. 243-253

DOI: 10.4236/jamp.2019.71020 633 Downloads 1,182 Views Citations

Author(s)

Hui Chen

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

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.

KEYWORDS

Variational Approach, Fractional Laplacian, Minimax Principle, Genus

Share and Cite:

Chen, H. (2019) The Existence of Solution of a Critical Fractional Equation. Journal of Applied Mathematics and Physics, 7, 243-253. doi: 10.4236/jamp.2019.71020.

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