Existence and Asymptotic Behavior of Boundary Blow-Up Weak Solutions for Problems Involving the p-Laplacian

摘要

Let D （C） IRN(N ≥ 3),be a smooth bounded domain with smooth boundary (3)D.In this paper,the existence of boundary blow-up weak solutions for the quasilinear elliptic equation △pu =λk(x)f(u) in D(λ＞0 and 1＜p＜ N),is obtained under new conditions on k.We give also asymptotic behavior near the boundary of such solutions.