On Neumann boundary value problems for elliptic equations
Dimitrios A. Kandilakis
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 24 (2004), p. 31-40 / Harvested from The Polish Digital Mathematics Library
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We provide two existence results for the nonlinear Neumann problem ⎧-div(a(x)∇u(x)) = f(x,u) in Ω ⎨ ⎩∂u/∂n = 0 on ∂Ω, where Ω is a smooth bounded domain in ℝN, a is a weight function and f a nonlinear perturbation. Our approach is variational in character.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:271551 
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Dimitrios A. Kandilakis. On Neumann boundary value problems for elliptic equations. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 24 (2004) pp. 31-40. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1050/

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