A Singular ODE Related to Quasilinear Elliptic Equations

Date

2000-02-12

Authors

Korkut, Luka
Pasic, Mervan
Zubrinic, Darko

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions. All results are based on the study of a suitable singular ODE of the first order. We also introduce a comparison principle for a class of nonlinear integral operators of Volterra type that enables to obtain uniqueness of weak solutions of the quasilinear equation.

Description

Keywords

p-Laplacian, Spherically symmetric, Existence, Non-existence, Uniqueness, Comparison principle, Singular ODE, Regularity

Citation

Korkut, L., Pasic, M., & Zubrinic, D. (2000). A singular ODE related to quasilinear elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(12), pp. 1-37.

Rights

Attribution 4.0 International

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