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On nonlinear perturbations of linear second order elliptic boundary value problems
Published online by Cambridge University Press: 24 October 2008
Abstract
Let Ω ⊆ n be open and bounded, with ∂Ω smooth. Sufficient conditions on f are given in order that for p > n, the equation
has a solution for every h ∈ Lp; L is a second order symmetric elliptic operator and B represents either the first, second or third boundary value problems. These conditions are in terms of the asymptotic behaviour of f, in its second variable, in relation to those λ for which there is a nontrivial solution of
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- Research Article
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- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 1 , July 1978 , pp. 143 - 157
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- Copyright © Cambridge Philosophical Society 1978
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