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
- Sirkka-Liisa Eriksson, Heikki Orelma, A simple construction of a fundamental solution for the extended Weinstein equation , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- László Kapolyi, Network Oligopolies with Multiple Markets , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Hasnae El Hammar, Chakir Allalou, Adil Abbassi, Abderrazak Kassidi, The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Roberto Dieci, Gian-Italo Bishi, Laura Gardini, Routes to Complexity in a Macroeconomic Model Described by a Noninvertible Triangular Map , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Michael J. Mezzino, Numerical Solutions of Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Chengjun Guo, Donal O‘Regan, Ravi P. Agarwal, Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Laszlo Kapolyi, Ferenc Szidarovszki, Control of Dynamic Oligopsonies with Production factors , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Constantin Corduneanu, Some special classes of neutral functional differential equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Mouffak Benchohra, Omar Bennihi, Khalil Ezzinbi, Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Aboudramane Guiro, Idrissa Ibrango, Existence of solutions for discrete boundary value problems with second order dependence on parameters , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
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
