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

共 50 条

[1] Boundary blow-up solutions for a cooperative system involving the p-Laplacian
Chen, Li
Chen, Yujuan
Luo, Dang
ANNALES POLONICI MATHEMATICI, 2013, 109 (03) : 297 - 310
[2] Existence and asymptotic behavior of blow-up solutions to a class of p(x)-Laplacian problems
Zhang, Qihu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 472 - 482
[3] Existence, nonexistence and asymptotic behavior of boundary blow-up solutions to p(x)-Laplacian problems with singular coefficient
Zhang, Qihu
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) : 2045 - 2061
[4] Existence and Asymptotic Behavior for Solutions to Boundary Blow-up Elliptic Problems
Rhouma, N. Belhaj
Drissi, A.
ADVANCED NONLINEAR STUDIES, 2014, 14 (01) : 183 - 197
[5] Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations
Liao, Menglan
Liu, Qiang
Ye, Hailong
ADVANCES IN NONLINEAR ANALYSIS, 2020, 9 (01) : 1569 - 1591
[6] Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities
Yin, Li
Guo, Yunrui
Yang, Jing
Lu, Bibo
Zhang, Qihu
ABSTRACT AND APPLIED ANALYSIS, 2010,
[7] Asymptotic estimates and blow-up theory for critical equations involving the p-Laplacian
Nicolas Saintier
Calculus of Variations and Partial Differential Equations, 2006, 25 : 299 - 331
[8] Asymptotic estimates and blow-up theory for critical equations involving the p-Laplacian
Saintier, N
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2006, 25 (03) : 299 - 331
[9] On boundary blow-up solutions to equations involving the ∞-Laplacian
Mohammed, Ahmed
Mohammed, Seid
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) : 5238 - 5252
[10] Sufficient and Necessary Conditions on the Existence and Estimates of Boundary Blow-Up Solutions for Singular p-Laplacian Equations
Xuemei Zhang
Shikun Kan
Acta Mathematica Scientia, 2023, 43 : 1175 - 1194

← 1 2 3 4 5 →