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

被引：0

作者：

Belhaj Rhouma, Nedra ^{[1
]}

Drissi, Amor ^{[1
]}

Sayeb, Wahid ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Campus Univ, Tunis 2092, Tunisia

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 26卷 / 02期

关键词：

p-Laplacian operator; sub and supersolution; blow-up solutions; comparison principle;

D O I：

10.4208/jpde.v26.n2.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D subset of R-N (N >= 3), be a smooth bounded domain with smooth boundary partial derivative D. In this paper, the existence of boundary blow-upweak solutions for the quasilinear elliptic equation Delta(p)u = lambda k(x) f(u) in D(lambda>0 and 1<p<N), is obtained under new conditions on k. We give also asymptotic behavior near the boundary of such solutions.

引用

页码：172 / 192

页数：21

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