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Exponential decay of the solutions to nonlinear Schrödinger systems
Felipe Angeles, Mónica Clapp, Alberto Saldaña
We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply to positive or sign-changing c…
Classical solutions to integral equations with zero order kernels
Héctor A. Chang-Lara, Alberto Saldaña
We show global and interior higher-order log-Hölder regularity estimates for solutions of Dirichlet integral equations where the operator has a nonintegrable kernel with a singular…
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods
Abdelrazek Dieb, Isabella Ianni, Alberto Saldaña
We consider positive solutions of a fractional Lane-Emden type problem in a bounded domain with Dirichlet conditions. We show that uniqueness and nondegeneracy hold for the asympto…
Paths to uniqueness of critical points and applications to partial differential equations
Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos +2
We prove a unified and general criterion for the uniqueness of critical points of a functional in the presence of constraints such as positivity, boundedness, or fixed mass. Our me…