7 papers · 1 filter
Regularity properties for dead core problems and their asymptotic limit as
João Vítor da Silva, Julio Rossi, Ariel Salort
We study regularity issues and the limiting behavior as of nonnegative solutions for elliptic equations of Laplacian type () with a strong absorp…
Universal regularity estimates for solutions to fully nonlinear elliptic equations with oblique boundary data
Junior da S. Bessa, João Vitor da Silva, Gleydson C. Ricarte
In this work, we establish universal moduli of continuity for viscosity solutions to fully nonlinear elliptic equations with oblique boundary conditions, whose general model is giv…
Lipschitz regularity of almost minimizers in a Bernoulli problem with non-standard growth
João Vitor da Silva, Analía Silva, Hernán Vivas
In this work we establish the optimal Lipschitz regularity for non-negative almost minimizers of the one-phase Bernoulli-type functional $$ \mathcal{J}_{\mathrm{G}}(u,Ω) := \int_Ω\…
Schauder and Calderón-Zygmund type estimates for fully nonlinear parabolic equations under "small ellipticity aperture" and applications
João Vitor da Silva, Makson S. Santos
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully nonlinear second-order parabolic equations \[ \partial_t u - F(x, t,D^2u) = f (x, t) \q…
Mixed local-nonlocal quasilinear problems with critical nonlinearities
João Vitor da Silva, Alessio Fiscella, Victor A. Blanco Viloria
We study existence and multiplicity of nontrivial solutions of the following problem $$ \left\{ \begin{array}{rcll} -Δ_p u+(-Δ_p)^{s} u & = & λ|u|^{q-2}u+|u|^{p^{\ast}-2}u & \mbox{…
Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation
Pêdra D. S. Andrade, João Vitor da Silva, Giane C. Rampasso +1
In this paper, we investigate a class of doubly nonlinear evolutions PDEs. We establish sharp regularity for the solutions in Hölder spaces. The proof is based on the geometric tan…