Borderline gradient continuity for nonlinear parabolic systems
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Publication:476772
DOI10.1007/s00208-014-1055-1zbMath1308.35041OpenAlexW2068187208WikidataQ58880734 ScholiaQ58880734MaRDI QIDQ476772
Tuomo Kuusi, Giuseppe Mingione
Publication date: 2 December 2014
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-014-1055-1
Smoothness and regularity of solutions to PDEs (35B65) Potentials and capacities on other spaces (31C15) Quasilinear parabolic equations with (p)-Laplacian (35K92)
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Cites Work
- Unnamed Item
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- A nonlinear Stein theorem
- Potential estimates and gradient boundedness for nonlinear parabolic systems
- New perturbation methods for nonlinear parabolic problems
- Local Lipschitz regularity for degenerate elliptic systems
- Differentiability of solutions to second-order elliptic equations via dynamical systems
- Degenerate parabolic equations
- Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
- Gradient estimates for a class of parabolic systems
- Harnack estimates for quasi-linear degenerate parabolic differential equations
- Singular quasilinear and Hessian equations and inequalities
- Pathological solutions to elliptic problems in divergence form with continuous coefficients
- An existence result for superparabolic functions
- Regularity for minima of functionals with p-growth
- The Wiener test and potential estimates for quasilinear elliptic equations
- Nonlinear parabolic equations with measure data
- Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation
- Thin sets in nonlinear potential theory
- Very weak solutions of parabolic systems of \(p\)-Laplacian type
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Local and global behaviour of solutions to nonlinear equations with natural growth terms
- Quasilinear and Hessian equations of Lane-Emden type
- The Wolff gradient bound for degenerate parabolic equations
- Riesz potentials and nonlinear parabolic equations
- Global boundedness of the gradient for a class of nonlinear elliptic systems
- Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
- Hölder estimates for nonlinear degenerate parabolic sytems.
- Regularity of differential forms minimizing degenerate elliptic functionals.
- Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
- Guide to nonlinear potential estimates
- Gradient regularity for nonlinear parabolic equations
- NON-LINEAR POTENTIAL THEORY