F. Leoni

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math.AP2026

Fully nonlinear logistic equations with sanctuary

Isabeau Birindelli, Giulio Galise, Fabiana Leoni

For the fully nonlinear stationary logistic equation $F (x, D^{2} u) + I^¼ u = k (x) u^{p}$ with $p > 1$ and $k (x) \geq 0$ , in a bounded domain with Dirichlet boundary condition, we deter…

math.AP2025

Radial solutions of truncated Laplacian equations in punctured balls

Isabeau Birindelli, FranÃ§oise Demengel, Fabiana Leoni

We consider equations involving the truncated laplacians and having lower order terms with singular potentials posed in punctured balls. We study both the principal eigenvalue prob…

math.AP2024

Radial singular solutions of fully nonlinear equations in punctured balls

Isabeau Birindelli, FranÃ§oise Demengel, Fabiana Leoni

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 conside…