Extremal solutions and strong relaxation for second order multivalued boundary value problems

Leszek Gasiński; Nikolaos S. Papageorgiou

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 4, page 827-844
  • ISSN: 0011-4642

Abstract

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In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem.

How to cite

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Gasiński, Leszek, and Papageorgiou, Nikolaos S.. "Extremal solutions and strong relaxation for second order multivalued boundary value problems." Czechoslovak Mathematical Journal 55.4 (2005): 827-844. <http://eudml.org/doc/30992>.

@article{Gasiński2005,
abstract = {In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem.},
author = {Gasiński, Leszek, Papageorgiou, Nikolaos S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems; extremal solutions; strong relaxation; maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems},
language = {eng},
number = {4},
pages = {827-844},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extremal solutions and strong relaxation for second order multivalued boundary value problems},
url = {http://eudml.org/doc/30992},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Gasiński, Leszek
AU - Papageorgiou, Nikolaos S.
TI - Extremal solutions and strong relaxation for second order multivalued boundary value problems
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 4
SP - 827
EP - 844
AB - In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem.
LA - eng
KW - maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems; extremal solutions; strong relaxation; maximal monotone operator; pseudomonotone operator; Hartman condition; convex and nonconvex problems
UR - http://eudml.org/doc/30992
ER -

References

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