Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part
From MaRDI portal
Publication:2170673
DOI10.1515/anona-2022-0247zbMath1498.35217arXiv2201.00909OpenAlexW4225754376MaRDI QIDQ2170673
Wen Yuan, Si Bei Yang, Da Chun Yang
Publication date: 6 September 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00909
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15)
Related Items
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, Nodal solutions for Neumann systems with gradient dependence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weighted estimates for the nonlinear parabolic equations with non-standard growth
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Real-variable theory of Musielak-Orlicz Hardy spaces
- Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains
- Global regularity for divergence form elliptic equations on quasiconvex domains
- Lebesgue and Sobolev spaces with variable exponents
- Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
- On divergence-free drifts
- 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
- Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
- 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
- Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Harmonic measure on locally flat domains
- A geometric approach to the Calderón-Zygmund estimates
- 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.
- Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Coercive energy estimates for differential forms in semi-convex domains
- Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients
- Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems
- Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains
- Mixed-norm \(L_p\)-estimates for non-stationary Stokes systems with singular VMO coefficients and applications
- \(W^{1,p(\cdot)}\)-regularity for elliptic equations with measurable coefficients in nonsmooth domains
- Global weighted estimates for quasilinear elliptic equations with non-standard growth
- Gradient estimates for a class of quasilinear elliptic equations with measure data
- Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains
- Gradient bounds for \(p\)-harmonic systems with vanishing Neumann (Dirichlet) data in a convex domain
- The \(L^{p}\) boundary value problems on Lipschitz domains
- Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains
- Gradient estimates for \(p\)-Laplacian equation in composite reifenberg domains
- The Neumann problem of Laplace's equation in semiconvex domains
- 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
- 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)
- Functions of Vanishing Mean Oscillation
- Extrapolation and interpolation in generalized Orlicz spaces
- Boundary behavior of solutions of elliptic operators in divergence form with a BMO anti-symmetric part
- 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
- Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients
- Classical Fourier Analysis
- Modern Fourier Analysis
- The conormal derivative problem for higher order elliptic systems with irregular coefficients
- Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
- Form boundedness of the general second‐order differential Operator
- Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data