A bifurcation theorem for noncoercive integral functionals

Francesca Faraci

Commentationes Mathematicae Universitatis Carolinae (2004)

  • Volume: 45, Issue: 3, page 443-456
  • ISSN: 0010-2628

Abstract

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In this paper we study the existence of critical points for noncoercive functionals, whose principal part has a degenerate coerciveness. A bifurcation result at zero for the associated differential operator is established.

How to cite

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Faraci, Francesca. "A bifurcation theorem for noncoercive integral functionals." Commentationes Mathematicae Universitatis Carolinae 45.3 (2004): 443-456. <http://eudml.org/doc/249379>.

@article{Faraci2004,
abstract = {In this paper we study the existence of critical points for noncoercive functionals, whose principal part has a degenerate coerciveness. A bifurcation result at zero for the associated differential operator is established.},
author = {Faraci, Francesca},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {critical points; noncoercive and nondifferentiable functionals; bifurcation points; critical points; noncoercive and nondifferentiable functionals; bifurcation points},
language = {eng},
number = {3},
pages = {443-456},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A bifurcation theorem for noncoercive integral functionals},
url = {http://eudml.org/doc/249379},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Faraci, Francesca
TI - A bifurcation theorem for noncoercive integral functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 3
SP - 443
EP - 456
AB - In this paper we study the existence of critical points for noncoercive functionals, whose principal part has a degenerate coerciveness. A bifurcation result at zero for the associated differential operator is established.
LA - eng
KW - critical points; noncoercive and nondifferentiable functionals; bifurcation points; critical points; noncoercive and nondifferentiable functionals; bifurcation points
UR - http://eudml.org/doc/249379
ER -

References

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  1. Arcoya D., Boccardo L., Orsina L., Existence of critical points for some noncoercive functionals, Ann. Inst. H. Poincaré Anal. Non Linéaire 18 4 (2001), 437-457. (2001) Zbl1035.49007MR1841128
  2. Boccardo L., Orsina L., Existence and regularity of minima for integral functionals noncoercive in the energy space, Ann. Scuola. Norm. Sup. Pisa 25 (1997), 95-130. (1997) Zbl1015.49014MR1655511
  3. Boccardo L., Dall'Aglio A., Orsina L., Existence and regularity results for some elliptic equation with degenerate coercivity. Special issue in honor of Calogero Vinti, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), suppl., 51-81. (1998) MR1645710
  4. De Giorgi E., Teoremi di semicontinuitá nel calcolo delle variazioni, Lecture Notes, Istituto Nazionale di Alta matematica, Roma, 1968. 
  5. Ladyzenskaja O.A., Uralceva N.N., Equations aux dérivées partielles de type elliptique, Dunod, Paris, 1968. MR0239273
  6. Ricceri B., A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000), 401-410. (2000) Zbl0946.49001MR1735837

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