Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
Shangjian Liu · Journal of Applied Mathematics and Physics · 2019
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.