The Wolff gradient bound for degenerate parabolic equations

T Kuusi, G Mingione - J. Eur. Math. Soc.(JEMS), 2014 - ems.press
The Wolff gradient bound for degenerate parabolic equations Page 1 DOI 10.4171/JEMS/449
J. Eur. Math. Soc. 16, 835–892 c European Mathematical Society 2014 Tuomo Kuusi …

[HTML][HTML] Lorentz estimates for degenerate and singular evolutionary systems

P Baroni - Journal of Differential Equations, 2013 - Elsevier
We prove estimates of Calderón–Zygmund type for evolutionary p-Laplacian systems in the
setting of Lorentz spaces. We suppose the coefficients of the system to satisfy only a VMO …

Developments and perspectives in nonlinear potential theory

G Mingione, G Palatucci - Nonlinear Analysis, 2020 - Elsevier
Nonlinear Potential theory aims at replicating the classical linear potential theory when
nonlinear equations are considered. In recent years there has been a substantial …

Morrey estimates for some classes of elliptic equations with a lower order term

S Leonardi - Nonlinear Analysis, 2018 - Elsevier
We will browse a series of results on elliptic equations and systems, with particular nonlinear
lower order terms and measure right-hand side, obtained in the last years in the papers …

Global regularity for degenerate/singular parabolic equations involving measure data

SS Byun, JT Park, P Shin - Calculus of Variations and Partial Differential …, 2021 - Springer
We consider degenerate and singular parabolic equations with p-Laplacian structure in
bounded nonsmooth domains when the right-hand side is a signed Radon measure with …

Short tales from nonlinear Calderón-Zygmund theory

JA Carrillo, M del Pino, A Figalli, G Mingione… - Nonlocal and Nonlinear …, 2017 - Springer
Abstract Nonlinear Calderón-Zygmund Theory aims at reproducing, in the nonlinear setting,
the classical linear theory originally developed by Calderón and Zygmund. This topic has …

Global estimates for nonlinear parabolic equations

P Baroni, A Di Castro, G Palatucci - arxiv preprint arxiv:1301.1872, 2013 - arxiv.org
We consider nonlinear parabolic equations of the type $$ u_t-div a (x, t, Du)= f (x, t)
on\Omega_T=\Omega\times (-T, 0), $$ under standard growth conditions on $ a $, with $ f …

Degenerate parabolic equations with partial boundary value conditions

H Zhan, Z Feng - Applicable Analysis, 2023 - Taylor & Francis
For the stability of degenerate parabolic equations, the usual boundary value condition may
be overdetermined. How to find an optimal partial boundary value condition has been a long …

Regularity estimates for singular parabolic measure data problems with sharp growth

JT Park, P Shin - Journal of Differential Equations, 2022 - Elsevier
We prove global gradient estimates for parabolic p-Laplace type equations with measure
data, whose model is ut− div (| D u| p− 2 D u)= μ in Ω×(0, T)⊂ R n× R, where μ is a signed …

Marcinkiewicz regularity for singular parabolic p-Laplace type equations with measure data

JT Park - Nonlinear Analysis, 2022 - Elsevier
We consider quasilinear parabolic equations with measurable coefficients when the right-
hand side is a signed Radon measure with finite total mass, having p-Laplace type: ut− div a …