Theoretical analysis demonstrates singularity of radial solutions in punctured balls, classifying asymptotic behavior across power-type regimes.
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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Birindelli et al. (2024) studied this question.
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