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arXiv · 2408.13550

Radial singular solutions of fully nonlinear equations in punctured balls

Isabeau Birindelli·Françoise Demengel·Fabiana Leoni
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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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Isabeau Birindelli, Françoise Demengel, Fabiana Leoni. 2024-08-24. Radial singular solutions of fully nonlinear equations in punctured balls. https://arxiv.org/abs/2408.13550

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