Existence and Asymptotic Behavior of Boundary Blow-Up Weak Solutions for Problems Involving the p-Laplacian
Existence and Asymptotic Behavior of Boundary Blow-Up Weak Solutions for Problems Involving the p-Laplacian
摘要
Let D C RN （N≥3）, be a smooth bounded domain with smooth boundary 3D. In this paper, the existence of boundary blow-up weak solutions for the quasilinear elliptic equation Δpu -= Ak（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.
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