A general existence principle for strong solutions to the Dirichlet problem for the equation Δ u + f(t, u) = 0

D. O'Regan

doi:10.13025/23697

A general existence principle for strong solutions to the Dirichlet problem for the equation Δ u + f(t, u) = 0

D. O'Regan

Mathematics

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

2 Citations (Scopus)

Abstract

An existence principle is established for Δ u + f(t, u) = 0 on Ω, u = 0 on ∂Ω. Our theory relies on a fixed point result for weakly sequentially continuous and weakly compact maps.

Original language	English
Pages (from-to)	29-32
Number of pages	4
Journal	Applied Mathematics Letters
Volume	10
Issue number	3
DOIs	https://doi.org/10.13025/23697 https://doi.org/10.1016/s0893-9659(97)00029-3
Publication status	Published - May 1997

Keywords

Dirichlet
Existence
Weakly sequentially continuous operators

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10.13025/23697Licence: CC BY-NC-ND
10.1016/s0893-9659(97)00029-3

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abstract = "An existence principle is established for Δ u + f(t, u) = 0 on Ω, u = 0 on ∂Ω. Our theory relies on a fixed point result for weakly sequentially continuous and weakly compact maps.",

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AB - An existence principle is established for Δ u + f(t, u) = 0 on Ω, u = 0 on ∂Ω. Our theory relies on a fixed point result for weakly sequentially continuous and weakly compact maps.

KW - Dirichlet

KW - Existence

KW - Weakly sequentially continuous operators

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JF - Applied Mathematics Letters

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A general existence principle for strong solutions to the Dirichlet problem for the equation Δ u + f(t, u) = 0

Abstract

Keywords

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