Gradient estimates via non-linear potentials

From MaRDI portal
Publication:3091767

DOI10.1353/ajm.2011.0023zbMath1230.35028arXiv0906.4939OpenAlexW2035163028MaRDI QIDQ3091767

Giuseppe Mingione, Frank Duzaar

Publication date: 14 September 2011

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4939



Related Items

Degenerate and Singular Porous Medium Type Equations with Measure Data, Pointwise estimates of solutions to the double-phase elliptic equations, Interior gradient estimates for quasilinear elliptic equations, Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients, Hölder regularity of the gradient for the non-homogeneous parabolicp(x,t)-Laplacian equations, The Poisson equation involving surface measures, A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces, Hölder estimates for the elliptic p(x)-Laplacian equation with the logarithmic function, Regularity and comparison principles for p-Laplace equations with vanishing source term, Regularity estimates for singular parabolic measure data problems with sharp growth, Recent Advances in Nonlinear Potential Theory, Nonlinear potential estimates for generalized Stokes system, Potential estimates for elliptic measure data problems with irregular obstacles, Gradient estimates of general nonlinear singular elliptic equations with measure data, Borderline gradient continuity for fractional heat type operators, The Calderón–Zygmund estimates for a class of nonlinear elliptic equations with measure data, Wolff potentials and measure data vectorial problems with Orlicz growth, Potential Estimates and Quasilinear Parabolic Equations with Measure Data, The insulated conductivity problem with \(p\)-Laplacian, Fractional differentiability for elliptic double obstacle problems with measure data, A comparison estimate for singular \(p\)-Laplace equations and its consequences, Borderline gradient continuity for the normalized \(p\)-parabolic operator, BMO-regularity for a degenerate transmission problem, Global Calderón-Zygmund theory for parabolic \(p\)-Laplacian system: the case \(1 < p \leq \frac{ 2 n}{ n + 2} \), Existence and regularity estimates for quasilinear equations with measure data: the case \(1 < p \leq (3n-2)/(2n-1)\), Interior pointwise gradient estimates for quasilinear elliptic equations in Heisenberg group, Universal potential estimates for \(1 < p \leq 2-\frac{1}{n} \), Potential estimates for fully nonlinear elliptic equations with bounded ingredients, Uniqueness of entire solutions to quasilinear equations of \(p \)-Laplace type, Approximation of elliptic and parabolic equations with Dirichlet boundary conditions, Short Tales from Nonlinear Calderón-Zygmund Theory, Gradient continuity estimates for the normalized p-Poisson equation, Unnamed Item, Riesz potentials and nonlinear parabolic equations, Global boundedness of the gradient for a class of nonlinear elliptic systems, Lorentz–Morrey global bounds for singular quasilinear elliptic equations with measure data, Wolff type potential estimates for stationary Stokes systems with Dini-BMO coefficients, Guide to nonlinear potential estimates, Weak-type estimates and potential estimates for elliptic equations with drift terms, Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data, Borderline gradient estimates at the boundary in Carnot groups, Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts, Estimates for parabolic equations with measure data in generalized Morrey spaces, Potential Estimates for Quasi-Linear Parabolic Equations, A sublinear Sobolev inequality for $p$-superharmonic functions, Parabolic Systems with Polynomial Growth and Regularity, Optimal regularity for nonlinear elliptic equations with righthand side measure in variable exponent spaces, Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions, Global Lorentz gradient estimates for quasilinear equations with measure data for the strongly singular case: 1 < p ≤ 3n−2 2n−1, Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group, Improved regularity for the p-Poisson equation, Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates, Nonlinear potential theory of elliptic systems, The Wolff potential estimate for solutions to elliptic equations with signed data, Recent progress in nonlinear potential theory, On the critical point regularity for degenerate diffusive equations, An end point Orlicz type estimate for nonlinear elliptic equations, Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation, Good-\(\lambda\) type bounds of quasilinear elliptic equations for the singular case, Global \(W^{1,p(\cdot)}\) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains, Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions, Sharp boundedness and continuity results for the singular porous medium equation, Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations, Marcinkiewicz regularity for singular parabolic \(p\)-Laplace type equations with measure data, Riesz potential estimates for problems with Orlicz growth, Gradient estimates via the Wolff potentials for a class of quasilinear elliptic equations, Global weighted Orlicz estimates for parabolic measure data problems: application to estimates in variable exponent spaces, Gradient continuity estimates, A note on the local regularity of distributional solutions and subsolutions of semilinear elliptic systems, Regularity estimates for quasilinear elliptic equations with variable growth involving measure data, Regularizing effect of the lower-order terms in elliptic problems with Orlicz growth, Riesz potential estimates for a class of double phase problems, Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations, Local Lipschitz regularity for degenerate elliptic systems, Gradient potential estimates, On Calderón-Zygmund theory for \(p\)- and \({\mathcal{A}}\)-superharmonic functions, Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications, Nonlinear parabolic problems with lower order terms and related integral estimates, Linear potentials in nonlinear potential theory, Universal potential estimates, Global estimates for nonlinear parabolic equations, Lorentz improving estimates for the \(p\)-Laplace equations with mixed data, Nonlinear Calderón-Zygmund theory in the limiting case, Nonlinear potential estimates in parabolic problems, Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces, Pointwise gradient estimates, A surprising linear type estimate for nonlinear elliptic equations, Regularity for quasilinear equations on degenerate singular sets, Level-set inequalities on fractional maximal distribution functions and applications to regularity theory, Pointwise estimates for solutions to the porous medium equation with measure as a forcing term, Epsilon-regularity for \(p\)-harmonic maps at a free boundary on a sphere, Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces, Continuity estimates for porous medium type equations with measure data, Shape sensitivity analysis of the Hardy constant, Calderón-Zygmund estimates for parabolic measure data equations, Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient, Nonlinear measure data problems, Weighted gradient estimates for the parabolic \(p\)-Laplacian equations, The Wolff gradient bound for degenerate parabolic equations, Morrey global bounds and quasilinear Riccati type equations below the natural exponent, Global regularity for degenerate/singular parabolic equations involving measure data, Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data, A gradient estimate related fractional maximal operators for a \(p\)-Laplace problem in Morrey spaces, Potential estimates for the \(p\)-Laplace system with data in divergence form, Up-to-boundary pointwise gradient estimates for very singular quasilinear elliptic equations with mixed data, Gradient estimates for elliptic equations with measurable nonlinearities, Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system, The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates, Elliptic obstacle problems with measure data: potentials and low order regularity, Gradient potential estimates for elliptic obstacle problems, Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations, Continuity properties of solutions to the \(p\)-Laplace system, Global integral gradient bounds for quasilinear equations below or near the natural exponent, Borderline gradient continuity of minima, Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations, Local and global behaviour of solutions to nonlinear equations with natural growth terms, Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data, Wolff potential estimates for Cheeger \(p\)-harmonic functions, New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data, Pointwise estimates via parabolic potentials for a class of doubly nonlinear parabolic equations with measure data, Second-order two-sided estimates in nonlinear elliptic problems, Pointwise gradient bounds for a class of very singular quasilinear elliptic equations, Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators, Pointwise gradient estimates for a class of singular quasilinear equations with measure data, Interior gradient estimates for weak solutions of quasilinear \(p\)-Laplacian type equations, Weighted Lorentz gradient estimates for a class of quasilinear elliptic equations with measure data, Nonlinear gradient estimates for elliptic double obstacle problems with measure data, Boundary Riesz potential estimates for elliptic equations with measurable nonlinearities, Developments and perspectives in nonlinear potential theory, Weighted gradient estimates for general nonlinear elliptic equations involving measure data, Pointwise gradient estimates for subquadratic elliptic systems with discontinuous coefficients, Potential estimates of superquadratic elliptic systems with VMO coefficients in Reifenberg domains, Gradient potential estimates in non-linear elliptic obstacle problems with measure data, Parabolic weighted Sobolev-Poincaré type inequalities, Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case, Borderline regularity for fully nonlinear equations in Dini domains, Extremals in nonlinear potential theory, Generalized good-\(\lambda\) techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations, Potential estimates for elliptic systems with subquadratic growth, Mixed local and nonlocal equations with measure data, Optimal second-order regularity for the \(p\)-Laplace system, Weighted gradient estimates for the general elliptic \(p(x)\)-Laplacian equations, Gradient estimates and comparison principle for some nonlinear elliptic equations, Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications, Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces, Nonlocal equations with measure data, Riesz potential estimates for a general class of quasilinear equations, Harnack estimates at large: sharp pointwise estimates for nonnegative solutions to a class of singular parabolic equations, Fractional differentiability for a class of double phase problems with measure data, Gradient potential estimates in elliptic obstacle problems with Orlicz growth, Gradient estimates for singular parabolic \(p\)-Laplace type equations with measure data