Two Infinite Families of Solutions for Singular Superlinear Equations on Exterior Domains
Ali Diwan, Joseph Iaia

TL;DR
This paper investigates radial solutions to a class of singular superlinear elliptic equations in exterior domains, establishing the existence of two infinite solution families under specific growth and singularity conditions.
Contribution
It introduces two infinite families of solutions for singular superlinear equations in exterior domains, expanding understanding of such equations with specific growth and singularity behaviors.
Findings
Existence of two infinite families of solutions.
Solutions exist under conditions on parameters N, q, and α.
Characterization of solution behavior at infinity and near singularity.
Abstract
In this paper, we study radial solutions of in the exterior of the ball of radius in with where grows superlinearly at infinity and is singular at 0 with where We also assume for large and establish the existence of two infinite families of solutions when
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Differential Equations and Numerical Methods · advanced mathematical theories
