Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition
-
Yuan Zhang
zdyang_jin@263.net
-
Zuodong Yang
zdyang_jin@263.net
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000100008Abstract
In this paper, we study the existence of entire solutions for the following elliptic system
△mu = p(x) f(v), △l v = q(x) g(u), x ∈ RN,
where 1 < m, l < ∞, f, g are continuous and non-decreasing on [0,∞), satisfy f(t) > 0, g(t) > 0 for all t > 0 and the Keller-Osserman condition. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of the given equation.
Keywords
Most read articles by the same author(s)
- Fang Li, Zuodong Yang, Existence of blow-up solutions for quasilinear elliptic equation with nonlinear gradient term. , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- Weihui Wang, Zuodong Yang, Nonnegative solutions of quasilinear elliptic problems with sublinear indefinite nonlinearity , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
Similar Articles
- Martin V¨ath, A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Nejc Sirovnik, On certain functional equation in semiprime rings and standard operator algebras , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- S. Minkevicius, About cumulative idle time model of the message switching system , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Ram U. Verma, Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Fabrizio Cuccu, Petar Popivanov, Giovanni Porru, Estimates for solutions to nonlinear degenerate elliptic equations , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Jan Andres, Karel Pastor, Pavla Snyrychov´a, Simple Fixed Point Theorems on Linear Continua , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
<< < 4 5 6 7 8 9 10 11 12 13 14 15 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-03-01
How to Cite
[1]
Y. Zhang and Z. Yang, “Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition”, CUBO, vol. 15, no. 1, pp. 119–130, Mar. 2013.
Issue
Section
Articles
