Global positive bounded solutions for equations with regularly varying operator
Abstract
A nonlinear differential equation with inhomogeneous differential operator Φ, which is regularly varying at zero, is considered. The operator Φ can be viewed as an extension of the p -Laplacian operator and arises in many physical problems, as illustrated by several examples. In particular, the existence of global positive bounded solutions on the half-line with the Neumann type boundary conditions is studied by means of an abstract fixed point theorem and certain properties of an associated half-linear equation. The results do not require the explicit form of the inverse operator of Φ, and are completed by an asymptotic analysis of these solutions near infinity.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 559
- Issue
- 1
- Pages
- 130443–130443
- Publication date
- 19 January 2026
- Language
- EN