Existence of weak solutions for nonlinear elliptic systems on ℝN

Date

2006-07-06

Authors

El-Zahrani, Eada A.
Serag, Hassan M.

Journal Title

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Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we consider the nonlinear elliptic system -Δpu = α(x)|u|p-2 u - b(x)|u|α|v|βv + ƒ, -Δqv = -c(x)|u|α|v|βu + d(x)|v|q-2 v + g, lim|x|→∞ u = lim|x|→∞ v = 0 u, v > 0 on a bounded and unbounded domains of ℝN, where Δp denotes the p-Laplacian. The existence of weak solutions for these systems is proved using the theory of monotone operators.

Description

Keywords

Weak solutions, Nonlinear elliptic systems, p-Laplacian, Monotone operators

Citation

El-Zahrani, E. A., & Serag, H. M. (2006). Existence of weak solutions for nonlinear elliptic systems on ℝN. <i>Electronic Journal of Differential Equations, 2006</i>(69), pp. 1-10.

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Attribution 4.0 International

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