Advances in Differential Equations

Classifying smooth supersolutions for a general class of elliptic boundary value problems

Julián López-Gómez

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Abstract

This paper characterizes the pointwise behavior of smooth supersolutions of a general class of elliptic linear boundary value problems of mixed type. Our main result is a substantial extension of W.~Walter [9, Theorem 2] to cover the case of general mixed boundary conditions. As an application of this result, the theory of [6] is adapted to obtain a weak version---within the context of Schauder's theory---of the characterization of the strong maximum principle of H. Amann and J. López-Gómez [3].

Article information

Source
Adv. Differential Equations Volume 8, Number 9 (2003), 1025-1042.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355926578

Mathematical Reviews number (MathSciNet)
MR1989288

Zentralblatt MATH identifier
1290.35059

Subjects
Primary: 35J25: Boundary value problems for second-order elliptic equations
Secondary: 35B50: Maximum principles 35J15: Second-order elliptic equations

Citation

López-Gómez, Julián. Classifying smooth supersolutions for a general class of elliptic boundary value problems. Adv. Differential Equations 8 (2003), no. 9, 1025--1042. https://projecteuclid.org/euclid.ade/1355926578.


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