Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614712 | Journal of Mathematical Analysis and Applications | 2015 | 13 Pages |
Abstract
In this article, we study the existence of solution for the problem (−Δ)αu=λf(u)+ν(−Δ)αu=λf(u)+ν in Ω, u≡0u≡0 in RN\ΩRN\Ω, where λ>0λ>0 is a parameter, α∈(0,1)α∈(0,1) and ν is a Radon measure. A weak solution is obtained by using Schauder's fixed point theorem. In the case where ν is Dirac measure, the symmetry of the solution is obtained by using the moving plane method.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Guangying Lv, Jinqiao Duan, Jinchun He,