On the equivalence of two variational problems |
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Authors: | Giulia Treu Mihai Vornicescu |
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Institution: | Dipartimento di Matematica pura e applicata, Universitá di Padova, via Belzoni 7, I-35131 Padova, Italy (e-mail: treu@galileo.math.unpid.it), IT Centro di Investiga? oes em Matemática e Aplica?oes de Universidade de évora (Cima-ue), rua Rom ao Ramalho 59, P-7000 évora, Portugal (e-mail: mihai@dmat.uevora.pt), PT
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Abstract: | We consider the following problems
where is a convex function, is an open bounded subset of is a closed convex subset of such that and and are suitable obstacles. We give conditions on the function {\it g} under which the two problems are equivalent.
Received March 24, 1999/ Accepted January 14, 2000 / Published online June 28, 2000 |
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Keywords: | Mathematics Subject Classification (1991): 49J30 49K30 |
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