10 citations · 10 across the 9 of their papers we have counts for
11 papers
A fully nonlinear two-phase Alt-Phillips problem with gradient nonlinearities
Junior da Silva Bessa, João Vitor da Silva, Yuwei Hu +1
In this manuscript, we analyze a two-phase free boundary problem of Alt-Phillips-type driven by fully nonlinear elliptic equations with lower-order ingredients. More precisely, we…
Regularity for fully nonlinear degenerate parabolic equations with strong absorption
João Vitor da Silva, Feida Jiang, Jiangwen Wang
In this paper, we investigate dead-core problems for fully nonlinear degenerate parabolic equations with strong absorption, \begin{equation*} |Du|^{p} F(D^{2}u) - u_{t} = λ_{0}(x,t…
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…
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 $$ \left\{ \begin{array}{rcll} -Δ_p u+(-Δ_p)^{s} u & = & λ|u|^{q-2}u+|u|^{p^{\ast}-2}u & \mbox{…
Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation
Pêdra D. S. Andrade, João Vitor da Silva, Giane C. Rampasso +1
In this paper, we investigate a class of doubly nonlinear evolutions PDEs. We establish sharp regularity for the solutions in Hölder spaces. The proof is based on the geometric tan…
Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications
Junior da S. Bessa, João Vitor da Silva, Maria N. B. Frederico +1
In this work we derive global estimates for viscosity solutions to fully nonlinear elliptic equations under relaxed structural assumptions on the governing operator which are weake…
Fully Nonlinear Singularly perturbed models with non-homogeneous degeneracy
João V. Silva, Elzon C. Júnior, Gleydson C. Ricarte
In our work we study non-variational, nonlinear singularly perturbed elliptic models enjoying a double degeneracy character with prescribed boundary value in a domain. In such a sc…
Maximal solutions for the Infinity-eigenvalue problem
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this article we prove that the first eigenvalue of the Laplacian $$ \left\{ \begin{array}{rclcl} \min\{ -Δ_\infty v,\, |\nabla v|-λ_{1, \infty}(Ω) v \} & = & 0 & \text{…
Sharp regularity estimates for second order fully nonlinear parabolic equations
João Vitor da Silva, Eduardo V. Teixeira
We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form \begin{equation}\label{Meq}\tag{Eq} u_t- F(D^2u, Du, X, t) = f(X,t) \…
Regularity up to the boundary for singularly perturbed fully nonlinear elliptic equations
Gleydson C. Ricarte, João Vitor da Silva
In this article we are interested in studying regularity up to the boundary for one-phase singularly perturbed fully nonlinear elliptic problems, associated to high energy activati…