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On some nonlinear elliptic problems with an unknown measure data
Author(s) -
Padial J.F.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700518
Subject(s) - minimax , measure (data warehouse) , nonlinear system , radon measure , mathematics , argument (complex analysis) , pure mathematics , mathematical analysis , mathematical optimization , computer science , physics , chemistry , data mining , locally compact space , biochemistry , quantum mechanics
We prove the existence of a solution of some nonlinear elliptic problems with a Radon measure data. In contrast with the usual elliptic problem, this measure will be an unknown of the problem depending on the solution. We shall use a Minimax Ambrosetti–Rabinowitz argument. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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