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. Electronic Journal of Differential Equations, 2000(12), pp. 1-37.
Rights
Attribution 4.0 International