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math.AP2025
Rigidity results for finite energy solutions to the stationary 2D Euler equations
Fabio De Regibus, Francesco Esposito, David Ruiz
In this paper we prove rigidity results for classical solutions to the stationary 2D Euler equations in . Assuming that the velocity field has finite energy and that…
math.AP2024
Monotone heteroclinic solutions to semilinear PDEs in cylinders and applications
Fabio De Regibus, David Ruiz
In this paper we show the existence of strictly monotone heteroclinic type solutions of semilinear elliptic equations in cylinders. The motivation of this construction is twofold:…