Radial singular solutions of fully nonlinear equations in punctured balls

2024/08/24 by Isabeau Birindelli, Birindelli, Isabeau, Françoise Demengel +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #35B40 #35J60 #35J75 #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2408.13550

openalex publication_date 2024/08/24 · openalex created_date 2024/09/21 · openalex updated_date 2026/07/28

Abstract

We study fully nonlinear uniformly elliptic equations having a singular reaction term with inverse quadratic potential and an absorbing superlinear term of p-power type. We consider equations posed in punctured balls centered at the origin, and we prove that all radial solutions are singular around the origin, by providing a complete classification in dependence of p of their asymptotic behavior near the singularity.

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