9 papers
Gradient regularity for viscosity solutions to quasilinear parabolic equations with mixed singular-degenerate structure
Junior da Silva Bessa, João Vitor da Silva, Ginaldo de Santana Sá
We establish regularity results for viscosity solutions to a class of quasilinear parabolic equations exhibiting nonhomogeneous degeneracy or singularity (a double phase regime) of…
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…
Regularity estimates for fully nonlinear dead-core problems with a Hamiltonian Term
Rafael R. Costa, Ginaldo S. Sá
In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the orig…
Geometric regularity estimates for quasi-linear elliptic models in non-divergence form with strong absorption
Claudemir Alcantara, João Vitor da Silva, Ginaldo Sá
In this manuscript, we investigate geometric regularity estimates for problems governed by quasi-linear elliptic models in non-divergence form, which may exhibit either degenerate…
Regularity estimates to quasi-linear parabolic equations in non-divergence form with non-homogeneous signature
Junior da Silva Bessa, João Vitor da Silva, Ginaldo de Santana Sá
In this manuscript, we establish the existence and sharp geometric regularity estimates for bounded solutions of a class of quasilinear parabolic equations in non-divergence form w…
Improved regularity estimates for Hardy-Hénon-type equations driven by the -Laplacian
Elzon C. Bezerra Júnior, João Vitor da Silva, Thialita M. Nascimento +1
In this work, we establish sharp and improved regularity estimates for viscosity solutions of Hardy-Hénon-type equations with possibly singular weights and strong absorption govern…
Sharp and improved regularity estimates for weighted quasilinear elliptic equations of Laplacian type and applications
João Vitor da Silva, Disson dos Prazeres, Gleydson Ricarte +1
In this manuscript, we obtain sharp and improved regularity estimates for weak solutions of weighted quasilinear elliptic models of Hardy-Hénon-type, featuring an explicit regulari…
Oscillatory free boundary problems in stochastic materials
Damião J. Araújo, Ginaldo S. Sá, Eduardo V. Teixeira +1
We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free bounda…
Sharp regularity for a singular fully nonlinear parabolic free boundary problem
Damião J. Araújo, Ginaldo S. Sá, José Miguel Urbano
This paper establishes sharp local regularity estimates for viscosity solutions of fully nonlinear parabolic free boundary problems with singular absorption terms. The main difficu…