Existence of Continuous and Singular Ground States for Semilinear Elliptic Systems
Date
1998-01-16
Authors
Yarur, Cecilia S.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study existence results of a curve of continuous and singular ground states for the system
-Δu = α(|x|) ƒ(v)
-Δv = β(|x|) g(u),
where x ∈ ℝN \ {0}, the functions ƒ and g are increasing Lipschitz continuous functions in ℝ, and α and β are nonnegative continuous functions in ℝ+. We also study general systems of the form
Δu(x) + V(|x|) u + α(|x|)vp = 0
Δv(x) + V(|x|)v + b(|x|) uq = 0.
Description
Keywords
semilinear elliptic systems, ground states
Citation
Yarur, C. S. (1998). Existence of continuous and singular ground states for semilinear elliptic systems. Electronic Journal of Differential Equations, 1998(01), pp. 1-27.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.