Nonlinear potential estimates in parabolic problems

DOI10.4171/RLM/593zbMath1227.35105OpenAlexW2139301413WikidataQ58880806 ScholiaQ58880806MaRDI QIDQ634430

Tuomo Kuusi, Giuseppe Mingione

Publication date: 2 August 2011

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/593

zbMATH Keywords

Wolff potentialspointwise gradient estimates\(p\)-Laplacean

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59)

Related Items (10)

Pointwise estimates for the fundamental solutions of a class of singular parabolic problems ⋮ Universal potential estimates ⋮ Global estimates for nonlinear parabolic equations ⋮ Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces ⋮ Pointwise gradient estimates ⋮ New perturbation methods for nonlinear parabolic problems ⋮ Nonlinear measure data problems ⋮ Riesz potentials and nonlinear parabolic equations ⋮ Lorentz estimate for nonlinear parabolic obstacle problems with asymptotically regular nonlinearities ⋮ On weighted W^2,p estimates for elliptic equations with BMO coefficients in nondivergence form

Cites Work

• Unnamed Item
• Degenerate parabolic equations
• Gradient estimates for a class of parabolic systems
• Nonlinear elliptic and parabolic equations involving measure data
• Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations
• Nonlinear parabolic equations with measure data
• Gradient estimates via non-linear potentials
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
• Gradient estimates for thep(x)-Laplacean system

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