New variational principle and duality for an abstract semilinear Dirichlet problem
Marek Galewski
Annales Polonici Mathematici, Tome 81 (2003), p. 51-60 / Harvested from The Polish Digital Mathematics Library
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A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280320 
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     year = {2003},
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Marek Galewski. New variational principle and duality for an abstract semilinear Dirichlet problem. Annales Polonici Mathematici, Tome 81 (2003) pp. 51-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-6/