Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II

Filippo Gazzola; Bert Peletier; Patrizia Pucci; James Serrin

Annales de l'I.H.P. Analyse non linéaire (2003)

  • Volume: 20, Issue: 6, page 947-974
  • ISSN: 0294-1449

How to cite

top

Gazzola, Filippo, et al. "Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II." Annales de l'I.H.P. Analyse non linéaire 20.6 (2003): 947-974. <http://eudml.org/doc/78606>.

@article{Gazzola2003,
author = {Gazzola, Filippo, Peletier, Bert, Pucci, Patrizia, Serrin, James},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {-Laplacian; Ground states; Shooting methods; Asymptotic behavior},
language = {eng},
number = {6},
pages = {947-974},
publisher = {Elsevier},
title = {Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II},
url = {http://eudml.org/doc/78606},
volume = {20},
year = {2003},
}

TY - JOUR
AU - Gazzola, Filippo
AU - Peletier, Bert
AU - Pucci, Patrizia
AU - Serrin, James
TI - Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2003
PB - Elsevier
VL - 20
IS - 6
SP - 947
EP - 974
LA - eng
KW - -Laplacian; Ground states; Shooting methods; Asymptotic behavior
UR - http://eudml.org/doc/78606
ER -

References

top
  1. [1] Abramowitz M., Stegun I.A., Handbook of Mathematical Functions, Dover, 1972. Zbl0543.33001
  2. [2] Atkinson F.V., Peletier L.A., Ground states of −Δu=f(u) and the Emden–Fowler equation, Arch. Rational Mech. Anal.93 (1986) 103-127. Zbl0606.35029
  3. [3] Atkinson F.V., Peletier L.A., Elliptic equations with nearly critical growth, J. Differential Equations70 (1987) 349-365. Zbl0657.35058MR915493
  4. [4] Berestycki H., Lions P.L., Nonlinear scalar field equations, I, Existence of a ground state, Arch. Rational Mech. Anal.82 (1983) 313-345. Zbl0533.35029MR695535
  5. [5] Brezis H., Peletier L.A., Asymptotics for elliptic equations involving critical exponents, in: Partial Differential Equations and Calculus of Variations, Birkhäuser, 1989, pp. 149-192. Zbl0685.35013MR1034005
  6. [6] Franchi B., Lanconelli E., Serrin J., Existence and uniqueness of nonnegative solutions of quasilinear equations in Rn, Adv. Math.118 (1996) 177-243. Zbl0853.35035MR1378680
  7. [7] García Azorero J.P., Peral Alonso I., On limits of solutions of elliptic problems with nearly critical exponent, Comm. Part. Differential Equations17 (1992) 2113-2126. Zbl0799.35066MR1194752
  8. [8] Gazzola F., Critical growth quasilinear elliptic problems with shifting subcritical perturbation, Differential Integral Equations14 (2001) 513-528. Zbl1030.35076MR1824741
  9. [9] Gazzola F., Serrin J., Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Ann. Inst. H. Poincaré AN19 (2002) 477-504. Zbl1013.35031MR1912264
  10. [10] Gazzola F., Serrin J., Tang M., Existence of ground states and free boundary problems for quasilinear elliptic operators, Adv. Differential Equations5 (2000) 1-30. Zbl0987.35064MR1734535
  11. [11] Knaap M.C., Peletier L.A., Quasilinear elliptic equations with nearly critical growth, Comm. Part. Differential Equations14 (1989) 1351-1383. Zbl0696.35052MR1022990
  12. [12] Ni W.M., Serrin J., Nonexistence theorems for quasilinear partial differential equations, Rend. Circolo Mat. Palermo (Centenary Supplement) Ser. II8 (1985) 171-185. Zbl0625.35028MR881397
  13. [13] Ni W.M., Serrin J., Existence and nonexistence theorems for ground states of quasilinear partial differential equations. The anomalous case, Accad. Naz. dei Lincei Atti dei Convegni77 (1986) 231-257. 
  14. [14] Pucci P., Serrin J., A general variational identity, Indiana Univ. Math. J.35 (1986) 681-703. Zbl0625.35027MR855181
  15. [15] Pucci P., Serrin J., Uniqueness of ground states for quasilinear elliptic operators, Indiana Univ. Math. J.47 (1998) 501-528. Zbl0920.35054MR1647924
  16. [16] Rey O., Proof of two conjectures of H. Brezis and L.A. Peletier, Manuscripta Math.65 (1989) 19-37. Zbl0708.35032MR1006624
  17. [17] Rey O., The role of Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Funct. Anal.89 (1990) 1-52. Zbl0786.35059MR1040954
  18. [18] Serrin J., Tang M., Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ. Math. J.49 (2000) 897-923. Zbl0979.35049MR1803216

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.