# Porosity and Variational Principles

Serdica Mathematical Journal (2002)

- Volume: 28, Issue: 1, page 37-46
- ISSN: 1310-6600

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topMarchini, Elsa. "Porosity and Variational Principles." Serdica Mathematical Journal 28.1 (2002): 37-46. <http://eudml.org/doc/11546>.

@article{Marchini2002,

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.},

author = {Marchini, Elsa},

journal = {Serdica Mathematical Journal},

keywords = {Variational Principles; Well-posed Optimization Problems; Porous Sets; Porosity; porosity; variational principles; well-posed optimization problem},

language = {eng},

number = {1},

pages = {37-46},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Porosity and Variational Principles},

url = {http://eudml.org/doc/11546},

volume = {28},

year = {2002},

}

TY - JOUR

AU - Marchini, Elsa

TI - Porosity and Variational Principles

JO - Serdica Mathematical Journal

PY - 2002

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 28

IS - 1

SP - 37

EP - 46

AB - 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.

LA - eng

KW - Variational Principles; Well-posed Optimization Problems; Porous Sets; Porosity; porosity; variational principles; well-posed optimization problem

UR - http://eudml.org/doc/11546

ER -

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