5 papers · 1 filter
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: \…
Comparison Principle, A.B.P.-type estimates for solutions of quasi-linear elliptic equations in non-divergence form and some implications
Junior da S. Bessa, Reshmi Biswas, João Vitor da Silva +2
In this work, we establish global gradient estimates to solutions of quasilinear elliptic models in non-divergence form with general degeneracy law and a Hamiltonian term, given by…
Higher regularity estimates for solutions to -Laplacian-type models
João Vitor da Silva, Makson S. Santos, Mayra Soares
In this work, we tackle the higher regularity estimates of solutions to inhomogeneous Laplacian equations at interior critical points. Our estimates provide smoothness pro…
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…
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…