NDLI: Sur une équation elliptique non linéaire dégénérée.

Content Provider	Semantic Scholar
Author	Obeid, Amira
Copyright Year	2002
Abstract	L'objectif de ce travail est d'etablir l'existence et l'unicite de la solution pour une equation elliptique non lineaire degeneree, posee dans un domaine non borne. Dans un premier temps, on mene notre etude dans un domaine borne et ceci en tronquant le domaine infini. Dans la premiere partie, on introduit le probleme variationnel associe qui se traduit en terme d'une fonctionnelle non coercive a minimiser. Ainsi, on associe au probleme de minimisation un probleme dual puis on montre pour ce dernier l'existence et l'unicite de la solution. On prouve par l'extraction d'une sous-suite minimisante l'existence d'une solution liee a celle du pro-bleme dual. Dans la deuxieme partie, on definit un probleme relaxe ayant le meme infimum que le probleme initial et on prouve l'existence d'une solution pour le probleme relaxe. Les resultats de la premiere partie sont etendus au cas non borne. Enfin on estime l'erreur de tron-cature entre les solutions du probleme dual dans le cas borne et non borne.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://tel.archives-ouvertes.fr/tel-00002263v2/document
Alternate Webpage(s)	https://tel.archives-ouvertes.fr/tel-00002263/file/tel-00002263.pdf
Alternate Webpage(s)	https://tel.archives-ouvertes.fr/tel-00002263/document
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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