Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions

Yang ZD; Xu B; Wu MZ

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Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions

机译：拟线性椭圆型方程通过子解和上解的正边界爆破解的存在性

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In this paper, the existence of positive boundary blow-up weak solution for the quasilinear elliptic equation div(vertical bar del u vertical bar(p-2)del u) = m(x)f(u) in a smooth bounded domain Omega subset of R-N or global space Omega = R-N are obtained under new conditions. Our proof is based on the method of sub and supersolutions. (C) 2006 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2007年第1期|共7页
作者
Yang ZD; Xu B; Wu MZ;
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正文语种 eng
中图分类应用数学;
关键词
quasilinear elliptic equation; boundary blow-up; sub and supersolutions; Keller-Osserman condition; comparison principle; PARTIAL-DIFFERENTIAL EQUATIONS; UNIQUENESS;

机译：拟线性椭圆方程;边界爆破;子解和超解;Keller-Osserman条件;比较原理;微分方程;唯一性;

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1. Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions [J] . Yang ZD, Xu B, Wu MZ Applied mathematics and computation . 2007,第1期

机译：拟线性椭圆型方程通过子解和上解的正边界爆破解的存在性
2. On the Existence of Nonnegative Blow-up Boundary Solutions for Quasilinear Elliptic Equations [J] . S. Shokooh Australian Journal of Basic and Applied Sciences . 2010,第2016期

机译：拟线性椭圆型方程非负爆破边界解的存在性
3. Existence of boundary blow-up solutions for a quasilinear elliptic equation [J] . Mingzhu Wu, Zuodong Yang Journal of Applied Mathematics and Computing . 2008,第1a2期

机译：拟线性椭圆型方程边界爆破解的存在性
4. Multiple existence of positive solutions to quasilinear elliptic equations involving indefinite lower terms [C] . Kimiaki Narukawa International Conference on Mathematical Problems in Engineering, Aerospace and Sciences . 2012

机译：拟线性椭圆方程的阳性解的多重存在涉及无限期术语
5. On the existence of positive solutions of quasilinear elliptic boundary value problems. [D] . Kim, Eun Heui. 1999

机译：关于拟线性椭圆边值问题的正解的存在性。
6. Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [O] . Ülkü Dinlemez Kantar, Tülay Özden -1

机译：具有Robin边界条件的拟线性椭圆型方程的Lyapunov型不等式
7. Local gradient estimates and existence of blow-up solutions to a class of quasilinear elliptic equations [O] . Bello Castillo Emilio, Letelier Albornoz René 2003

机译：一类拟线性椭圆方程的局部梯度估计和爆破解的存在
8. Existence and Uniqueness Viscosity Solutions of Degenerate Quasilinear Elliptic Equations in R(N). Revision [R] . Crandall, M. G., Newcomb, R., Yoshihito, T. 1988

机译：R（N）中退化拟线性椭圆型方程的存在唯一性粘性解。调整

Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions

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