EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 54(68), pp. 38--46 (1993)

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On solvability of a nonlinear elliptic boundary value problem

I.G. Stratis

Department of Mathematics, University of Athens, Panepistemiopolis, GR 15784 Athens, Greece

Abstract: The question of existence of solutions of a certain nonlinear elliptic boundary value problem is treated, by studying the existence of critical points of a suitable functional; the way in which this functional is related to the ``standard'' functional of the variational formulation of the problem is described, and regularity of solutions for the problem is also proved.

Classification (MSC2000): 35J20, 35J25

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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