Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data

J Zhang, S Zheng - Journal of Elliptic and Parabolic Equations, 2022 - Springer
We devote this paper to the weighted Lorentz regularity of Hessian for viscosity solution of
fully nonlinear elliptic problem with oblique boundary condition β· D u= 0 under the …

Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators

JS Bessa - Journal of Functional Analysis, 2024 - Elsevier
Abstract We prove weighted Orlicz-Sobolev regularity for fully nonlinear elliptic equations
with oblique boundary condition under asymptotic conditions of the following problem {F (D …

Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications

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 …

[PDF][PDF] Existence, uniqueness, and regularity of solutions to nonlinear and non-smooth parabolic obstacle problems

T Durandard, B Strulovici - 2024 - faculty.wcas.northwestern.edu
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 …

On Weighted Lorentz-Sobolev estimates of obstacle problems for fully nonlinear elliptic equations under relaxed convexity assumptions with oblique boundary

JS Bessa, GC Ricarte - arXiv preprint arXiv:2302.09177, 2023 - arxiv.org
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 …

regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on domains

SS Byun, H Kim, J Oh - arXiv preprint arXiv:2407.01061, 2024 - arxiv.org
We provide a sharp $ C^{1,\alpha} $ estimate up to the boundary for a viscosity solution of a
degenerate fully nonlinear elliptic equation with the oblique boundary condition on a $ C …

Existence, uniqueness, and regularity of solutions to nonlinear and non-smooth parabolic obstacle problems

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 …

[PDF][PDF] Global weighted Lorentz estimates of oblique tangential derivative problems for weakly convex fully nonlinear operators

JS Bessa, GC Ricarte - arXiv preprint arXiv:2302.09177, 2023 - researchgate.net
arXiv:2302.09177v3 [math.AP] 18 Apr 2024 Page 1 Global weighted Lorentz estimates of
oblique tangential derivative problems for weakly convex fully nonlinear operators by Junior da …

Interior H\"{o}lder gradient regularity for degenerate normalized -Laplacian equation with general variable exponents

J Wang, Y Yin - arXiv preprint arXiv:2303.01190, 2023 - arxiv.org
We consider the degenerate normalized $ p $-Laplacian equation with general variable
exponents $$-\bigg\{| Du|^{\alpha (x, u, Du)}+ a (x)| Du|^{\beta (x, u, Du)}\bigg\}\Delta …

Regularidade elíptica para modelos não-lineares com condição de bordo oblíquo e aplicações

JS Bessa - 2024 - repositorio.ufc.br
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 …