Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation

HTML  XML Download Download as PDF (Size: 378KB)  PP. 210-217  
DOI: 10.4236/jamp.2019.71017    553 Downloads   1,106 Views  Citations
Author(s)

ABSTRACT

In this work, we study the following problem. , where  is the fractional Laplacian and Ω is a bounded domain in RN with Lipschitz boundary. g: R→R is an increasing locally Lipschitz continuous function. and f∈Lm(Ω), . We use Stampacchia’s theorem to study existence of the solution u, and we prove the uniqueness of u by contradiction.

Share and Cite:

Liu, S. (2019) Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation. Journal of Applied Mathematics and Physics, 7, 210-217. doi: 10.4236/jamp.2019.71017.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.