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

作　　者：BELHAJ RHOUMA Nedra DRISSI Amor SAYEB Wahid 

机构地区：[1]Faculty of Sciences of Tunis, University of Tunis El-Manar 2092, CampusUniversitaire, Tunisia.

出　　处：《Journal of Partial Differential Equations》2013年第2期172-192,共21页偏微分方程（英文版）

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.

关 键 词：p-Laplacian operator sub and supersolution blow-up solutions comparison princi-ple. 

分 类 号：O175.8[理学—数学]