Geodesic
Dirichlet problems without convexity assumption
Aleksandra Orpel1
1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
Annales Polonici Mathematici, Tome 85 (2005) no. 3, pp. 193-210.

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

We deal with the existence of solutions of the Dirichlet problem for sublinear and superlinear partial differential inclusions considered as generalizations of the Euler–Lagrange equation for a certain integral functional without convexity assumption. We develop a duality theory and variational principles for this problem. As a consequence of the duality theory we give a numerical version of the variational principles which enables approximation of the solution for our problem.
DOI : 10.4064/ap85-3-1
Keywords: existence solutions dirichlet problem sublinear superlinear partial differential inclusions considered generalizations euler lagrange equation certain integral functional without convexity assumption develop duality theory variational principles problem consequence duality theory numerical version variational principles which enables approximation solution problem

Aleksandra Orpel 1

1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland 
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Aleksandra Orpel. Dirichlet problems without convexity assumption. Annales Polonici Mathematici, Tome 85 (2005) no. 3, pp. 193-210. doi : 10.4064/ap85-3-1. http://geodesic.mathdoc.fr/articles/10.4064/ap85-3-1/

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