In this work, we show the existence/uniqueness of L p-viscosity solutions for a fully non- linear obstacle problem with super-linear gradient growth, unbounded ingredients and …
SS Byun, J Han, J Oh - Calculus of Variations and Partial Differential …, 2022 - Springer
This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W 2, p-regularity results by finding …
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 …
JS Bessa, JV da Silva, MNB Frederico… - Journal of Differential …, 2023 - Elsevier
We derive global W 2, p estimates (with n≤ p<∞) for viscosity solutions to fully nonlinear elliptic equations under relaxed structural assumptions on the governing operator that are …
We establish the existence, uniqueness, and W1, 2, p-regularity of solutions to fully nonlinear parabolic obstacle problems when the obstacle is the pointwise supremum of …
In this work, we will study estimates for the Hessian of viscosity solutions of obstacle-type problems with oblique boundary conditions where and governed by fully nonlinear elliptic …
D Théo, S Bruno - arXiv preprint arXiv:2404.01498, 2024 - arxiv.org
We establish the existence, uniqueness, and $ W^{1, 2, p} $-regularity of solutions to fully nonlinear parabolic obstacle problems when the obstacle is the pointwise supremum of …
A Teoria de regularidade para soluçoes no sentido da viscosidade de equaçoes elıpticas totalmente nao-lineares é um tópico de muito interesse para vários pesquisadores. Um dos …
A primeira parte desta obra foi inspirada em alguns cursos de pós-graduação (Tópicos de EDPs e Seminários de Análise e EDPs) ministrados pelo primeiro autor no IMECC …