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

O'Regan, D.
Repository DOI
Publication Date
1997-05-01
Keywords
dirichlet, weakly sequentially continuous operators, existence
Type
Article
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Citation
O'Regan, D. (1997). A general existence principle for strong solutions to the dirichlet problem for the equation δ u + f(t, u) = 0. Applied Mathematics Letters 10 (3), 29-32
Abstract
An existence principle is established for Delta u + f(t, u) = 0 on Omega, u = 0 on partial derivative Omega. Our theory relies on a fixed point result for weakly sequentially continuous and weakly compact maps.
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Publisher
Elsevier BV
Publisher DOI
10.1016/s0893-9659(97)00029-3
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)