Liouville-type theorems for certain degenerate and singular parabolic equations

被引：6

作者：

DiBenedetto, Emmanuele ^{[1
]}

Gianazza, Ugo ^{[2
]}

Vespri, Vincenzo ^{[3
]}

机构：

[1] Vanderbilt Univ, Dept Math, Stevenson Ctr 1326, Nashville, TN 37240 USA

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

[3] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 15-16期

关键词：

DIFFERENTIAL-EQUATIONS; NONNEGATIVE SOLUTIONS; HARNACK INEQUALITY;

D O I：

10.1016/j.crma.2010.06.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Relying on recent results on Harnack inequalities for equations of p-Laplacian type, we prove Liouville-type estimates for solutions to these equations, both in the degenerate (p > 2). and in the singular (1 < p < 2) range. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：873 / 877

页数：5

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