EXISTENCE OF SOLUTIONS FOR AN ELLIPTIC BOUNDARY VALUE PROBLEM VIA A GLOBAL MINIMIZATION THEOREM ON HILBERT SPACES

Souad Ayadi; Toufik Moussaoui; Donald O'Regan

doi:10.13025/26924

EXISTENCE OF SOLUTIONS FOR AN ELLIPTIC BOUNDARY VALUE PROBLEM VIA A GLOBAL MINIMIZATION THEOREM ON HILBERT SPACES

Souad Ayadi
, Toufik Moussaoui
, Donald O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.

Original language	English (Ireland)
Number of pages	7
Journal	Differential Equations & Applications
Volume	8
DOIs	https://doi.org/10.13025/26924 https://doi.org/10.7153/dea-08-21
Publication status	Published - 1 Aug 2016

Keywords

bvp
hilbert spaces
minimization theorem
nonexpansive potential operator

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10.13025/26924Licence: CC BY
10.7153/dea-08-21

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title = "EXISTENCE OF SOLUTIONS FOR AN ELLIPTIC BOUNDARY VALUE PROBLEM VIA A GLOBAL MINIMIZATION THEOREM ON HILBERT SPACES",

abstract = "We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.",

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AU - Moussaoui, Toufik

AU - O'Regan, Donald

PY - 2016/8/1

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N2 - We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.

AB - We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.

KW - bvp

KW - hilbert spaces

KW - minimization theorem

KW - nonexpansive potential operator

UR - http://hdl.handle.net/10379/10313

U2 - 10.13025/26924

DO - 10.13025/26924

M3 - Article

VL - 8

JO - Differential Equations & Applications

JF - Differential Equations & Applications

ER -

EXISTENCE OF SOLUTIONS FOR AN ELLIPTIC BOUNDARY VALUE PROBLEM VIA A GLOBAL MINIMIZATION THEOREM ON HILBERT SPACES

Abstract

Keywords

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