Riesz potentials and nonlinear parabolic equations

T Kuusi, G Mingione - Archive for Rational Mechanics and Analysis, 2014 - Springer
Riesz Potentials and Nonlinear Parabolic Equations Page 1 Digital Object Identifier (DOI)
10.1007/s00205-013-0695-8 Arch. Rational Mech. Anal. 212 (2014) 727–780 Riesz Potentials …

Borderline gradient continuity for nonlinear parabolic systems

T Kuusi, G Mingione - Mathematische Annalen, 2014 - Springer
We consider the evolutionary p p-Laplacean system ∂ _t u-\triangle _p u= F,\qquad p> 2n
n+ 2∂ tu-▵ pu= F, p> 2 nn+ 2 in cylindrical domains of\mathbb R^ n *\mathbb RR n× R, and …

Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles

AH Erhardt - 2016 - projecteuclid.org
EXISTENCE OF SOLUTIONS TO PARABOLIC PROBLEMS WITH NONSTANDARD GROWTH
AND IRREGULAR OBSTACLES 1. Introduction The aim of this pap Page 1 Advances in …

Compact embedding for p(xt)-Sobolev spaces and existence theory to parabolic equations with p(xt)-growth

AH Erhardt - Revista matemática complutense, 2017 - Springer
In this paper, we establish the compact embedding of p (x, t)-Sobolev spaces into p (x, t)-
Lebesgue spaces. Moreover, we prove some existence results for nonlinear parabolic …

[HTML][HTML] Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth

AH Erhardt - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
The aim of this paper is to derive the self-improving property of integrability for the spatial
gradient of solutions to degenerate parabolic obstacle problem with irregular obstacles and …

[PDF][PDF] On the Calderon-Zygmund theory for nonlinear parabolic problems with nonstandard growth condition

AH Erhardt - Journal of Mathematics Research, 2015 - researchgate.net
On the Calderon-Zygmund Theory for Nonlinear Parabolic Problems with Nonstandard
Growth Condition Page 1 Journal of Mathematics Research; Vol. 7, No. 1; 2015 ISSN 1916-9795 …