Existence of positive radial solutions for quasilinear elliptic equations and systems

Date

2016-02-17

Authors

Zhang, Zhijun

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

Under simple conditions on f and g, we show that existence of positive radial solutions for the quasilinear elliptic equation div(ϕ1 (|∇u|)∇u) = α(|x|)ƒ(u) x ∈ ℝN, and for the system div(ϕ1(|∇u|)∇u) = α(|x|)ƒ(v) x ∈ ℝN, div(ϕ2(|∇v|)∇v) = b(|x|)g(u) x ∈ ℝN.

Description

Keywords

Quasilinear elliptic equation, Radial solutions, Existence

Citation

Zhang, Z. (2016). Existence of positive radial solutions for quasilinear elliptic equations and systems. <i>Electronic Journal of Differential Equations, 2016</i>(50), pp. 1-9.

Rights

Attribution 4.0 International

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