A system of local/nonlocal p-Laplacians: the eigenvalue problem and its asymptotic limit as p→∞

S Buccheri, JV da Silva, LH de Miranda - Asymptotic Analysis, 2022 - content.iospress.com
A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as
p→∞ - IOS Press You are viewing a javascript disabled version of the site. Please enable …

Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications

JV da Silva, GC Ricarte - Calculus of Variations and Partial Differential …, 2020 - Springer
We establish sharp C_ loc^ 1, β C loc 1, β geometric regularity estimates for bounded
solutions of a class of fully nonlinear elliptic equations with non-homogeneous degeneracy …

A limiting problem for local/non-local p-Laplacians with concave–convex nonlinearities

JV da Silva, AM Salort - Zeitschrift für angewandte Mathematik und Physik, 2020 - Springer
In this manuscript, we deal with an equation involving a combination of quasi-linear elliptic
operators of local and non-local nature with p-structure, and concave–convex nonlinearities …

The obstacle problem for a class of degenerate fully nonlinear operators

JV Da Silva, H Vivas - Revista Matemática Iberoamericana, 2021 - ems.press
The obstacle problem for a class of degenerate fully nonlinear operators Page 1 Rev. Mat.
Iberoam. 37 (2021), no. 5, 1991–2020 doi 10.4171/rmi/1256 c 2021Real Sociedad …

Fully nonlinear singularly perturbed models with non-homogeneous degeneracy

ECB Júnior, JV da Silva, GC Ricarte - Revista Matemática …, 2022 - ems.press
Fully nonlinear singularly perturbed models with non-homogeneous degeneracy Page 1
Rev. Mat. Iberoam. 39 (2023), no. 1, 123–164 DOI 10.4171/RMI/1319 © 2022 Real Sociedad …

Sharp and improved regularity estimates for weighted quasilinear elliptic equations of Laplacian type and applications

JV da Silva, D Prazeres, G Ricarte, G Sá - arxiv preprint arxiv:2410.14862, 2024 - arxiv.org
In this manuscript, we obtain sharp and improved regularity estimates for weak solutions of
weighted quasilinear elliptic models of Hardy-H\'{e} non-type, featuring an explicit regularity …

Regularity properties for dead core problems and their asymptotic limit as

JV Da Silva, JD Rossi, AM Salort - Journal of the London …, 2019 - Wiley Online Library
We study regularity issues and the limiting behavior as p→∞ of non‐negative solutions for
elliptic equations of p− Laplacian type (2⩽ p<∞) with a strong absorption:− Δ pu (x)+ λ 0 (x) …

Sharp regularity for degenerate obstacle type problems: a geometric approach

JV Da Silva, H Vivas - arxiv preprint arxiv:1911.00542, 2019 - arxiv.org
We prove sharp regularity estimates for solutions of obstacle type problems driven by a class
of degenerate fully nonlinear operators; more specifically, we consider viscosity solutions …

Optimality problems in Orlicz spaces

V Musil, L Pick, J Takáč - Advances in Mathematics, 2023 - Elsevier
In mathematical modelling, the data and solutions are represented as measurable functions
and their quality is oftentimes captured by the membership to a certain function space. One …

[HTML][HTML] Regularity for degenerate evolution equations with strong absorption

JV Da Silva, P Ochoa, A Silva - Journal of Differential Equations, 2018 - Elsevier
In this manuscript, we study geometric regularity estimates for degenerate parabolic
equations of p-Laplacian type (2≤ p<∞) under a strong absorption condition: Δ pu−∂ u∂ …