Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

H Dong, NV Krylov - Calculus of Variations and Partial Differential …, 2019 - Springer
We present the first to date weighted and mixed-norm Sobolev estimates for fully nonlinear
elliptic and parabolic equations in the whole space under a relaxed convexity condition with …

Calderón–Zygmund estimates for the fully nonlinear obstacle problem with super-linear Hamiltonian terms and unbounded ingredients

JV da Silva, RT Frias - Mathematische Zeitschrift, 2024 - Springer
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 …

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 …

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 …

[PDF][PDF] Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity

M Lee - Commun. Contemp. Math, 2019 - utupub.fi
WEIGHTED ORLICZ REGULARITY ESTIMATES FOR FULLY NONLINEAR ELLIPTIC
EQUATIONS WITH ASYMPTOTIC CONVEXITY 1. Introduction In this pa Page 1 WEIGHTED …

[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 …

Lorentz estimates for asymptotically regular fully nonlinear parabolic equations

J Zhang, S Zheng - Mathematische Nachrichten, 2018 - Wiley Online Library
We prove a global Lorentz estimate of the Hessian of strong solutions to the Cauchy–
Dirichlet problem for a class of fully nonlinear parabolic equations with asymptotically …

Hessian estimates for fully nonlinear equations via the large-M-inequality principle

M Lee, J Ok - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
The approach using the large-M-inequality principle introduced by Acerbi and Mingione [2]
has been broadly used in W 1, p-regularity theory for nonlinear equations in divergence …

WEIGHTED SOBOLEV REGULARITY OF VISCOSITY SOLUTIONS FOR FULLY NONLINEAR PARABOLIC EQUATIONS

M Lee - East Asian mathematical journal, 2022 - koreascience.kr
WEIGHTED SOBOLEV REGULARITY OF VISCOSITY SOLUTIONS FOR FULLY
NONLINEAR PARABOLIC EQUATIONS 1. Introduction The paper is devoted Page 1 East …