Non-smooth variational bifurcation

Marco Degiovanni; Antonio Marino

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1987)

  • Volume: 81, Issue: 3, page 259-269
  • ISSN: 1120-6330

Abstract

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We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.

How to cite

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Degiovanni, Marco, and Marino, Antonio. "Non-smooth variational bifurcation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 81.3 (1987): 259-269. <http://eudml.org/doc/287287>.

@article{Degiovanni1987,
abstract = {We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.},
author = {Degiovanni, Marco, Marino, Antonio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Variational bifurcation; non-smooth analysis; variational inequalities; generalized Hessian form; bifurcation; lower semicontinuous functionals},
language = {eng},
month = {9},
number = {3},
pages = {259-269},
publisher = {Accademia Nazionale dei Lincei},
title = {Non-smooth variational bifurcation},
url = {http://eudml.org/doc/287287},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Degiovanni, Marco
AU - Marino, Antonio
TI - Non-smooth variational bifurcation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1987/9//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 3
SP - 259
EP - 269
AB - We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.
LA - eng
KW - Variational bifurcation; non-smooth analysis; variational inequalities; generalized Hessian form; bifurcation; lower semicontinuous functionals
UR - http://eudml.org/doc/287287
ER -

References

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