Existence of Positive Solution to a Quasilinear Elliptic Problem in RN

Surveys in Mathematics and its Applications

卷:1 (2006)

关键词: Quasilinear elliptic problem;    p-Laplacian;    Positive solution;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper we prove the existence of positive solution for the following quasilinear problem
∆_pu = a(x)f(u) in R^N
u > l >0 in R^N
u(x) → l, as |x|→ ∞
where ∆_p(1 < p < ∞) is the p -Laplacian operator.The proof is based on the results due to Diaz-Saa [Revista de Mathematicas aplicadas, 2000].

【 授权许可】

Unknown