Existence of critical points for some noncoercive functionals

David Arcoya; Lucio Boccardo; Luigi Orsina

Annales de l'I.H.P. Analyse non linéaire (2001)

  • Volume: 18, Issue: 4, page 437-457
  • ISSN: 0294-1449

How to cite

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Arcoya, David, Boccardo, Lucio, and Orsina, Luigi. "Existence of critical points for some noncoercive functionals." Annales de l'I.H.P. Analyse non linéaire 18.4 (2001): 437-457. <http://eudml.org/doc/78527>.

@article{Arcoya2001,
author = {Arcoya, David, Boccardo, Lucio, Orsina, Luigi},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {critical points; integral functionals; degenerate coerciveness},
language = {eng},
number = {4},
pages = {437-457},
publisher = {Elsevier},
title = {Existence of critical points for some noncoercive functionals},
url = {http://eudml.org/doc/78527},
volume = {18},
year = {2001},
}

TY - JOUR
AU - Arcoya, David
AU - Boccardo, Lucio
AU - Orsina, Luigi
TI - Existence of critical points for some noncoercive functionals
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2001
PB - Elsevier
VL - 18
IS - 4
SP - 437
EP - 457
LA - eng
KW - critical points; integral functionals; degenerate coerciveness
UR - http://eudml.org/doc/78527
ER -

References

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  1. [1] Ambrosetti A, Rabinowitz P.H, Dual variational methods in critical point theory and applications, J. Funct. Anal.14 (1973) 349-381. Zbl0273.49063MR370183
  2. [2] Arcoya D, Boccardo L, Critical points for multiple integrals of calculus of variations, Arch. Rat. Mech. Anal.134 (1996) 249-274. Zbl0884.58023MR1412429
  3. [3] Arcoya D, Boccardo L, Some remarks on critical point theory for nondifferentiable functionals, NoDEA Nonlinear Differential Equations Appl.6 (1999) 79-100. Zbl0923.35049MR1674782
  4. [4] Arcoya D., Gamez J.L., Orsina L., Peral I., Local existence results for sub-super-critical elliptic problems. Comm. Appl. Anal., to appear. Zbl1085.35511MR1864273
  5. [5] Boccardo L, Orsina L, Existence and regularity of minima for integral functionals noncoercive in the energy space, Ann. Scuola Norm. Sup. Pisa25 (1997) 95-130. Zbl1015.49014MR1655511
  6. [6] Degiovanni M, Marzocchi M, A critical point theory for nonsmooth functionals, Ann. Mat. Pura Appl.167 (1994) 73-100. Zbl0828.58006MR1313551
  7. [7] De Giorgi E, Teoremi di Semicontinuità nel Calcolo Delle Variazioni, Lecture Notes, Istituto Nazionale di Alta Matematica, Roma, 1968. 
  8. [8] Donato P, Giachetti D, Quasilinear elliptic equations with quadratic growth in unbounded domains, Nonlinear Anal.10 (1986) 791-804. Zbl0602.35036MR851147
  9. [9] Ladyzenskaya O.A, Uralceva N.N, Equations aux Dérivées Partielles de Type Elliptique, Dunod, Paris, 1968. Zbl0164.13001MR239273
  10. [10] Pohožaev S.I, Eigenfunctions of Δu+λf(u)=0, Soviet Math. Dokl.6 (1965) 1408-1411. 

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