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math.AP2016
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…
math.AP2016★ 27 cited
On the maximum principle for higher-order fractional Laplacians
Nicola Abatangelo, Sven Jarohs, Alberto Saldaña
We study existence, regularity, and qualitative properties of solutions to linear problems involving higher-order fractional Laplacians for any . Using the nonlocal p…