Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/488

 Title: Porosity and Variational Principles Authors: Marchini, Elsa Keywords: Variational PrinciplesWell-posed Optimization ProblemsPorous SetsPorosity Issue Date: 2002 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 28, No 1, (2002), 37p-46p Abstract: We prove that in some classes of optimization problems, like lower semicontinuous functions which are bounded from below, lower semi-continuous or continuous functions which are bounded below by a coercive function and quasi-convex continuous functions with the topology of the uniform convergence, the complement of the set of well-posed problems is σ-porous. These results are obtained as realization of a theorem extending a variational principle of Ioffe-Zaslavski. URI: http://hdl.handle.net/10525/488 ISSN: 1310-6600 Appears in Collections: Volume 28 Number 1

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