Vol. 200, No. 2, 2001

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Application of representation formulae to comparison and nonexistence theorems for elliptic boundary value problems

A.A. Kosmodem’yanskii Jr.

Vol. 200 (2001), No. 2, 485–496
Abstract

Using the representation formulas obtained earlier, new comparison theorems for elliptic boundary value problems are developed. Properties of support function of convex domain are applied for proofs and for obtaining nonexistence theorems for solutions of capillary problems in the absence of gravity.

Milestones
Received: 19 March 1999
Revised: 19 June 2000
Published: 1 October 2001
Authors
A.A. Kosmodem’yanskii Jr.
Moscow State University of Railways (MIIT)
Dept. of Computational Mathematics
ul. Obraztsova 15
Moscow
Russia