Geodesic
New variational principle and duality for an abstract semilinear Dirichlet problem
Marek Galewski1
1 Faculty of Mathematics University of Łódź Banacha 22 90-238 Łódź, Poland
Annales Polonici Mathematici, Tome 82 (2003) no. 1, pp. 51-60.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A new variational principle and duality for the problem $Lu=\nabla G(u) $ are provided, where $L$ is a positive definite and selfadjoint operator and $\nabla G$ 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.
DOI : 10.4064/ap82-1-6
Keywords: variational principle duality problem nabla provided where positive definite selfadjoint operator nabla continuous gradient mapping satisfies superquadratic growth conditions results obtained may applied dirichlet problems ordinary partial differential equations

Marek Galewski 1

1 Faculty of Mathematics University of Łódź Banacha 22 90-238 Łódź, Poland 
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Marek Galewski. New variational principle and duality for an
 abstract semilinear Dirichlet problem. Annales Polonici Mathematici, Tome 82 (2003) no. 1, pp. 51-60. doi : 10.4064/ap82-1-6. http://geodesic.mathdoc.fr/articles/10.4064/ap82-1-6/

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