Existence and uniqueness results of positive solutions for nonvariational quasilinear elliptic systems
Date
2006-07-27
Authors
Kandilakis, Dimitrios A.
Sidiropoulos, Nikolaos E.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We provide conditions for the existence and uniqueness of positive solutions to the quasilinear elliptic system
-Δpu = ƒ(x, u, v)
-Δqv = g(x, u, v)
with Dirichlet boundary conditions on a bounded domain Ω ⊆ ℝN.
Description
Keywords
Quasilinear elliptic system, Nonvariational system, Maximum principle, Uniqueness, Positive solution
Citation
Kandilakis, D. A., & Sidiropoulos, N. E. (2006). Existence and uniqueness results of positive solutions for nonvariational quasilinear elliptic systems. <i>Electronic Journal of Differential Equations, 2006</i>(84), pp. 1-6.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.