Simone Secchi

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20232026

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math.AP2026

Nonlinear Schrödinger equations with a critical, inverse-square potential

Bartosz Bieganowski, Adam Konysz, Simone Secchi

We study the existence of solutions of the following nonlinear Schrödinger equation $- Δ u + V (x) u - \frac{( N - 2 ) ^{2}}{4∣ x ∣ ^{2}} u = f (x, u)$ where $V : R^{N} \to R$ and $f:\mathb…

math.AP2026

A note on critical problems involving the $p$ -Grushin Operator: existence of infinitely many solutions

Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi

We consider a critical problem in a bounded domain involving the $p$ -Grushin operator $Δ_{α}^{p}$ . After a truncation argument, we obtain infinitely many solutions to our problem via K…

Nonlinear Schrödinger equations with a critical, inverse-square potential

A note on critical problems involving the p-Grushin Operator: existence of infinitely many solutions

A note on critical problems involving the $p$ -Grushin Operator: existence of infinitely many solutions