Uniqueness in some higher order elliptic boundary value problems in n dimensional domains | Zendy

Cristian-Paul Danet | Zendy

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Uniqueness in some higher order elliptic boundary value problems in n dimensional domains

Author(s) -

Cristian-Paul Danet

Publication year - 2011

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2011.1.54

Subject(s) - uniqueness , mathematics , boundary value problem , order (exchange) , mathematical analysis , value (mathematics) , boundary values , boundary (topology) , statistics , finance , economics

We develop maximum principles for several P functions which are defined on solutions to equations of fourth and sixth order (including a equation which arises in plate theory and bending of cylindrical shells). As a consequence, we obtain uniqueness results for fourth and sixth order boundary value problems in arbitrary n dimensional domains.

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