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Sur un théorème variationnel de Langenbach
Author(s) -
Dinca Par George
Publication year - 1985
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19851200102
Subject(s) - mathematics , operator (biology) , subspace topology , calculus (dental) , pure mathematics , mathematical analysis , medicine , biochemistry , chemistry , dentistry , repressor , transcription factor , gene
Using some imbedding theorems, the Langenbach variational theorem for operator equation Pu=f * is obtained as a natural consequence of the Kerner‐Vainberg potentiality theorem coupled with standard results of the variational calculus; in our approach operator P is defined not over all the space X but only on a dense subspace (compare with [1], pp. 33–34, propositions 3.2 and 3.3).
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