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math.AP2021★ 4 cited
A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations
Xavier Cabre, Tomás Sanz-Perela
We study stable solutions to the equation , posed in a bounded domain of . For nonnegative convex nonlinearities, we prove that stable solutions…
math.AP2021★ 9 cited
Eigenvalue curves for generalized MIT bag models
Naiara Arrizabalaga, Albert Mas, Tomás Sanz-Perela +1
We study spectral properties of Dirac operators on bounded domains with boundary conditions of electrostatic and Lorentz scalar type and which depend on a p…