Weak solutions of quasilinear elliptic PDE's at resonance

Gianni Arioli; Filippo Gazzola

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 4, page 573-589
  • ISSN: 0240-2963

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Arioli, Gianni, and Gazzola, Filippo. "Weak solutions of quasilinear elliptic PDE's at resonance." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.4 (1997): 573-589. <http://eudml.org/doc/73434>.

@article{Arioli1997,
author = {Arioli, Gianni, Gazzola, Filippo},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {resonance at infinity; existence},
language = {eng},
number = {4},
pages = {573-589},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Weak solutions of quasilinear elliptic PDE's at resonance},
url = {http://eudml.org/doc/73434},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Arioli, Gianni
AU - Gazzola, Filippo
TI - Weak solutions of quasilinear elliptic PDE's at resonance
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 4
SP - 573
EP - 589
LA - eng
KW - resonance at infinity; existence
UR - http://eudml.org/doc/73434
ER -

References

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  1. [1] Arcoya ( D.) and Boccardo ( L.). — Critical points for multiple integrals of the calculus of variations, Arch. Rat. Mech. Anal.134 (1996), pp. 249-274. Zbl0884.58023MR1412429
  2. [2] Brezis ( H.) and Browder ( F.E.) . — Sur une propriété des espaces de Sobolev, C. R. Acad. Sc., Paris, 287 (1978), pp. A113-A115. Zbl0381.46019MR511925
  3. [3] Canino ( A.) . - Multiplicity of solutions for quasilinear elliptic equations, Top. Meth. Nonlin. Anal.6 (1995), pp. 357-370. Zbl0863.35038MR1399545
  4. [4] Canino ( A.) and Degiovanni ( M.) .- Nonsmooth critical point theory and quasilinear elliptic equations, Topological Methods in Differential Equations and Inclusions, Montreal1994, NATO ASI Series, pp. 1-50. Zbl0851.35038MR1368669
  5. [5] Cerami ( G.) .- Un criterio di esistenza per i punti critici su varietà illimitate, Rend. Ist. Sci. Lombardo112 (1978), pp. 332-336. Zbl0436.58006
  6. [6] Corvellec ( J.N.) .- Morse theory for continuous functionals, to appear in J. Math. Anal. Appl.196 (1995), pp. 1050-1072. Zbl0853.58028MR1365240
  7. [7] Corvellec ( J.N.) and Degiovanni ( M.) .- Nontrivial solutions of quasilinear equations via nonsmooth Morse theory, J. Diff. Eq.136 (1997), pp. 268-293. Zbl1139.35335MR1448826
  8. [8] Corvellec ( J.N.), Degiovanni ( M.) and Marzocchi ( M.) .— Deformation properties for continuous functionals and critical point theory, Top. Meth. Nonlin. Anal.1 (1993), pp. 151-171. Zbl0789.58021MR1215263
  9. [9] Degiovanni ( M.) and Marzocchi ( M.) .— A critical point theory for nonsmooth functionals, Ann. Mat. Pura Appl.IV, CLXVII (1994), pp. 73-100. Zbl0828.58006MR1313551
  10. [10] Katriel ( G.) .- Mountain pass theorems and global homeomorphism theorems, Ann. Inst. H.-Poincaré, A.N.L.11 (1994), pp. 189-209. Zbl0834.58007MR1267366
  11. [11] Ladyzhenskaya ( O.A.) and URAL'TSEVA ( N.N.) .- Linear and quasilinear elliptic equations, Academic Press, New York, 1968. Zbl0164.13002MR244627
  12. [12] Rabinowitz ( P.H.) .- Minimax methods in critical point theory with applications to differential equations, CBMS Reg. Conf. Series Math.65, Amer. Math. Soc., Providence, R.I., 1986. Zbl0609.58002MR845785
  13. [13] Struwe ( M.) . — Multiple solutions of differential equations without the Palais-Smale condition, Math. Ann.261 (1982), pp. 399-412. Zbl0506.35034MR679798
  14. [14] Struwe ( M.) .- Quasilinear elliptic eigenvalue problems, Comment. Math. Helvetici58 (1983), pp. 509-527. Zbl0531.35035MR727715
  15. [15] Szulkin ( A.) .- Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems, Ann. Inst. H.-Poincaré, A.N.L.3 (1986), pp. 77-109. Zbl0612.58011MR837231

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