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
- M. H. Farag, T. A. Talaat, E. M. Kamal, Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi, Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Ravi P. Agarwal, Triple solutions of constant sign for a system of fredholm integral equations , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Claus Bauer, A new solution algorithm for skip-free processes to the left , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- U. Traoré, Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- George Venkov, Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℳ , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Rodrigue Sanou, Idrissa Ibrango, Blaise Koné, Aboudramane Guiro, Weak solutions to Neumann discrete nonlinear system of Kirchhoff type , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Stanislas Ouaro, Well-Posedness results for anisotropic nonlinear elliptic equations with variable exponent and 𘓹 -data , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
