A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces
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Publication:5085416
DOI10.1080/17476933.2021.1897794zbMath1496.35222OpenAlexW3138275774MaRDI QIDQ5085416
Cao-Kha Doan, Van-Nghia Vo, Gia Bao Nguyen
Publication date: 27 June 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2021.1897794
Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary
- Universal potential estimates
- The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates
- Gradient estimates via linear and nonlinear potentials
- Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
- Nonlinear gradient estimates for elliptic equations of general type
- Global estimates for quasilinear elliptic equations on Reifenberg flat domains
- Solvability of quasilinear elliptic equations with nonlinear boundary conditions. II
- Gradient estimates below the duality exponent
- Calderón-Zygmund estimates and non-uniformly elliptic operators
- Elliptic equations with BMO nonlinearity in Reifenberg domains
- Nonlinear elliptic equations with BMO coefficients in Reifenberg domains
- Regularity for a more general class of quasilinear equations
- A note on Riesz potentials
- Good-\(\lambda\) type bounds of quasilinear elliptic equations for the singular case
- Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions
- Global Sobolev regularity for general elliptic equations of \(p\)-Laplacian type
- A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
- Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations
- Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators
- Lorentz improving estimates for the \(p\)-Laplace equations with mixed data
- Level-set inequalities on fractional maximal distribution functions and applications to regularity theory
- New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data
- Nonlinear Calderón-Zygmund theory involving dual data
- Generalized good-\(\lambda\) techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations
- Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications
- Global weighted estimates for the gradient of solutions to nonlinear elliptic equations
- Linear and quasilinear elliptic equations
- Gradient estimates via non-linear potentials
- Lorentz–Morrey global bounds for singular quasilinear elliptic equations with measure data
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
- The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
- Boundary regularity for solutions of degenerate elliptic equations
- A Local estimate for nonlinear equations with discontinuous coefficients
- Guide to nonlinear potential estimates
- $L^p$ estimates for general nonlinear elliptic equations