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math.AP2024
Global fractional Sobolev regularity for fully nonlinear elliptic equations
Claudemir Alcantara, Makson Santos
We investigate fractional regularity estimates up to the boundary for solutions to fully nonlinear elliptic equations with measurable ingredients. Specifically, under the assumptio…
math.AP2024
Optimal Regularity for Fully Nonlinear Nonlocal Equations with Unbounded Source Terms
Disson S. dos Prazeres, Makson S. Santos
We prove optimal regularity estimates for viscosity solutions to a class of fully nonlinear nonlocal equations with unbounded source terms. More precisely, depending on the integra…
math.AP2024★ 1 cited
Free boundary regularity for a spectral optimal partition problem with volume and inclusion constraints
Dario Mazzoleni, Makson S. Santos, Hugo Tavares
This paper is devoted to a complete characterization of the free boundary of all solutions to the following spectral -partition problem with measure and inclusion constraints: \…