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. <i>Electronic Journal of Differential Equations, 1998</i>(01), pp. 1-27.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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