Abstract
We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.
Citation
Vasyl V. Kurta. "A parabolic analogue of Finn′s maximum principle." Abstr. Appl. Anal. 3 (1-2) 229 - 236, 1998. https://doi.org/10.1155/S1085337598000530
Information
Published: 1998
First available in Project Euclid: 8 April 2003
zbMATH: 0977.35073
MathSciNet: MR1700286
Digital Object Identifier: 10.1155/S1085337598000530
Subjects:
Primary:
35K
Keywords:
Comparison principle
,
elliptic equation
,
Finn′s maximum principle
,
heat equation
,
minimal surface equation
,
parabolic equation
,
subsolutions
,
supersolutions
Rights: Copyright © 1998 Hindawi