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math.AP2023
Normalized solutions to Born-Infeld and quasilinear problems
Laura Baldelli, Jarosław Mederski, Alessio Pomponio
The paper concerns the existence of normalized solutions to a large class of quasilinear problems, including the well-known Born-Infeld operator. In the mass subcritical cases, we…
math.AP2023
Semiclassical states for the curl-curl problem
Bartosz Bieganowski, Adam Konysz, Jarosław Mederski
We show the existence of the so-called semiclassical states to the following curl-curl problem $$ \varepsilon^2\; \nabla \times (\nabla \ti…
math.AP2023★ 8 cited
Normalized solutions to Schrödinger equations in the strongly sublinear regime
Jarosław Mederski, Jacopo Schino
We look for solutions to the Schrödinger equation \[ -Δu + λu = g(u) \quad \text{in } \mathbb{R}^N \] coupled with the mass constraint , with $N…