Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains

DOI10.1016/j.jde.2019.09.036zbMath1436.35127OpenAlexW2975203696MaRDI QIDQ2288025

Wen Yuan, Si Bei Yang, Der-Chen E. Chang, Da Chun Yang

Publication date: 16 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.09.036

zbMATH Keywords

elliptic equationMuckenhoupt weightLipschitz domainweak reverse Hölder inequalityNeumann boundary problem(semi-)convex domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Function spaces arising in harmonic analysis (42B35) Second-order elliptic equations (35J15) Harmonic analysis and PDEs (42B37)

Related Items (10)

Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part ⋮ Weighted \(W^{1, p(\cdot)}\)-regularity for degenerate elliptic equations in Reifenberg domains ⋮ Global regularity estimates for Neumann problems of elliptic operators with coefficients having a BMO anti-symmetric part in NTA domains ⋮ Heat kernels and Hardy spaces on non-tangentially accessible domains with applications to global regularity of inhomogeneous Dirichlet problems ⋮ Weighted variable Lorentz regularity for degenerate elliptic equations in Reifenberg domains ⋮ John-Nirenberg-\(Q\) spaces via congruent cubes ⋮ The weighted Kato square root problem of elliptic operators having a BMO anti-symmetric part ⋮ The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition ⋮ Instability for axisymmetric blow-up solutions to incompressible Euler equations ⋮ Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains

Cites Work

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• An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains
• Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Periodic homogenization of elliptic systems
• \(W^{1,p}\) estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains
• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• The \(L^p\) Dirichlet problem for elliptic systems on Lipschitz domains
• Gradient estimates for a class of parabolic systems
• Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
• Calderón-Zygmund estimates and non-uniformly elliptic operators
• Elliptic equations with BMO nonlinearity in Reifenberg domains
• Gradient estimates in Orlicz space for nonlinear elliptic equations
• Boundary value problems for the Laplacian in convex and semiconvex domains
• Elliptic equations in divergence form with partially BMO coefficients
• The Neumann problem and Helmholtz decomposition in convex domains
• Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains
• \(L^p\) regularity theory for linear elliptic systems
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• A geometric approach to the Calderón-Zygmund estimates
• Modular inequalities for the Calderón operator.
• Elliptic partial differential equations of second order
• Global \(W^{1,p(\cdot)}\) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains
• The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains
• Weighted Lorentz estimates for parabolic equations with non-standard growth on rough domains
• Homogenization of elliptic problems with Neumann boundary conditions in non-smooth domains
• Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Coercive energy estimates for differential forms in semi-convex domains
• \(W^{1,p(\cdot)}\)-regularity for elliptic equations with measurable coefficients in nonsmooth domains
• Global boundedness of the gradient for a class of nonlinear elliptic systems
• The \(L^{p}\) boundary value problems on Lipschitz domains
• Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains
• The Neumann problem of Laplace's equation in semiconvex domains
• Dirichlet integrals and Gaffney-Friedrichs inequalities in convex domains
• Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• Elliptic equations with BMO coefficients in Reifenberg domains
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• Parabolic and Elliptic Equations with VMO Coefficients
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The local regularity of solutions of degenerate elliptic equations
• Functions of Vanishing Mean Oscillation
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
• The Conormal Derivative Problem for Elliptic Equations with BMO Coefficients on Reifenberg flat domains
• Elliptic equations with BMO coefficients in Lipschitz domains
• Classical Fourier Analysis
• Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces

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