REVERSE HOLDER INEQUALITIES AND HIGHER INTEGRABILITY FOR SUBCRITICAL PARABOLIC EQUATIONS

被引：0

作者：

Fugazzola, Andrea ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2012年 / 17卷 / 1-2期

关键词：

PARTIAL REGULARITY; ELLIPTIC SYSTEMS; WEAK SOLUTIONS; BOUNDARY; GROWTH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a local higher integrability result for the gradient of solutions to singular, parabolic equations of p-Laplacian type. To this end, we show that solutions satisfy a reverse Holder inequality on intrinsic cylinders, whose geometry depends on the L-r-norm of the solution. The exponent r >= 2 allows us to derive estimates in the subcritical range 1 < p <= 2N/(N + 2).

引用

页码：151 / 172

页数：22

共 50 条

[41] Riesz transforms through reverse Holder and Poincar, inequalities
Bernicot, Frederic
Frey, Dorothee
MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (3-4) : 791 - 826
[42] On a New Harmonic Heat Flow with the Reverse Holder Inequalities
Horihata, Kazuhiro
JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (01) : 868 - 901
[43] Higher integrability for weak solutions of higher order degenerate parabolic systems
Boegelein, Verena
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2008, 33 (02) : 387 - 412
[44] Local higher integrability for parabolic quasiminimizers in metric spaces
Masson M.
Miranda Jr. M.
Paronetto F.
Parviainen M.
Ricerche di Matematica, 2013, 62 (2) : 279 - 305
[45] Global higher integrability for a doubly nonlinear parabolic system
Andreas Herán
Rudolf Rainer
Nonlinear Differential Equations and Applications NoDEA, 2022, 29
[46] Global higher integrability for parabolic quasiminimizers in nonsmooth domains
Mikko Parviainen
Calculus of Variations and Partial Differential Equations, 2008, 31 : 75 - 98
[47] Global higher integrability for a doubly nonlinear parabolic system
Heran, Andreas
Rainer, Rudolf
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 29 (05):
[48] HIGHER INTEGRABILITY FOR GRADIENTS OF SOLUTIONS TO DEGENERATE PARABOLIC SYSTEMS
Le, Dung
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (02) : 597 - 608
[49] Global higher integrability for parabolic quasiminimizers in nonsmooth domains
Parviainen, Mikko
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2008, 31 (01) : 75 - 98
[50] Weak reverse Holder inequalities and imbedding inequalities for solutions to the A-harmonic equation
Ding, SS
Sylvester, D
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (05) : 783 - 800

← 1 2 3 4 5 →