3 citations · 4 across the 4 of their papers we have counts for
5 papers
Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy
João Vitor da Silva, Elzon C. B. Júnior, Giane Rampasso +1
We establish the existence and sharp global regularity results (, and estimates) for a class of fully nonlinear elliptic PDEs with unbalanced variab…
Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy
João Vítor da Silva, Giane C. Rampasso, Gleydson C. Ricarte +1
We consider a one-phase free boundary problem governed by doubly degenerate fully non-linear elliptic PDEs with non-zero right hand side, which should be understood as an analog (n…
A note on the density of the partial regularity result in the class of viscosity solutions
Disson dos Prazeres, Edgard A. Pimentel, Giane C. Rampasso
We establish the density of the partial regularity result in the class of continuous viscosity solutions. Given a fully nonlinear equation, we prove the existence of a sequence ent…
Improved regularity for the -Poisson equation
Edgard A. Pimentel, Giane C. Rampasso, Makson S. Santos
In this paper we produce new, optimal, regularity results for the solutions to -Poisson equations. We argue through a delicate approximation method, under a smallness regime for…
Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations
Anne C. Bronzi, Edgard A. Pimentel, Giane C. Rampasso +1
In the present paper, we propose the investigation of variable-exponent, degenerate/singular elliptic equations in non-divergence form. This current endeavor parallels the by now w…