@article{AIHPC_2002__19_4_477_0, author = {Gazzola, Filippo and Serrin, James}, title = {Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {477--504}, publisher = {Elsevier}, volume = {19}, number = {4}, year = {2002}, mrnumber = {1912264}, zbl = {1013.35031}, language = {en}, url = {http://www.numdam.org/item/AIHPC_2002__19_4_477_0/} }
TY - JOUR AU - Gazzola, Filippo AU - Serrin, James TI - Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters JO - Annales de l'I.H.P. Analyse non linéaire PY - 2002 SP - 477 EP - 504 VL - 19 IS - 4 PB - Elsevier UR - http://www.numdam.org/item/AIHPC_2002__19_4_477_0/ LA - en ID - AIHPC_2002__19_4_477_0 ER -
%0 Journal Article %A Gazzola, Filippo %A Serrin, James %T Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters %J Annales de l'I.H.P. Analyse non linéaire %D 2002 %P 477-504 %V 19 %N 4 %I Elsevier %U http://www.numdam.org/item/AIHPC_2002__19_4_477_0/ %G en %F AIHPC_2002__19_4_477_0
Gazzola, Filippo; Serrin, James. Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) no. 4, pp. 477-504. http://www.numdam.org/item/AIHPC_2002__19_4_477_0/
[1] Ground states of −Δu=f(u) and the Emden-Fowler equation, Arch. Rational Mech. Anal. 93 (1986) 103-127. | Zbl
, ,[2] Emden-Fowler equations involving critical exponents, Nonlinear Anal. TMA 10 (1986) 755-776. | MR | Zbl
, ,[3] Elliptic equations with nearly critical growth, J. Differential Equations 70 (1987) 349-365. | MR | Zbl
, ,[4] Nonlinear scalar field equations, I, Existence of a ground state, Arch. Rational Mech. Anal. 82 (1983) 313-345. | MR | Zbl
, ,[5] Asymptotics for elliptic equations involving critical exponents, in: Partial Differential Equations and Calculus of Variations, Birkhäuser, 1989, pp. 149-192. | MR | Zbl
, ,[6] Positive solutions of quasilinear degenerate elliptic equations in Rn, Rend. Circolo Mat. Palermo 35 (1986) 364-375. | MR | Zbl
,[7] Existence and uniqueness of nonnegative solutions of quasilinear equations in Rn, Advances in Math. 118 (1996) 177-243. | MR | Zbl
, , ,[8] On limits of solutions of elliptic problems with nearly critical exponent, Comm. Partial Differential Equations 17 (1992) 2113-2126. | MR | Zbl
, ,[9] Critical growth quasilinear elliptic problems with shifting subcritical perturbation, Diff. Int. Eq. 14 (2001) 513-528. | MR | Zbl
,[10] Existence of ground states and free boundary problems for quasilinear elliptic operators, Adv. Diff. Eq. 5 (2000) 1-30. | MR | Zbl
, , ,[11] Quasilinear elliptic equations with nearly critical growth, Comm. Partial Differential Equations 14 (1989) 1351-1383. | MR | Zbl
, ,[12] Nonexistence theorems for quasilinear partial differential equations, Rend. Circolo Mat. Palermo (Centenary Supplement), Series II 8 (1985) 171-185. | MR | Zbl
, ,[13] Existence and nonexistence theorems for ground states of quasilinear partial differential equations. The anomalous case, Accad. Naz. dei Lincei, Atti dei Convegni 77 (1986) 231-257.
, ,[14] Uniqueness of ground states for quasilinear elliptic operators, Indiana Univ. Math. J. 47 (1998) 501-528. | MR | Zbl
, ,[15] Proof of two conjectures of H. Brezis and L.A. Peletier, Manuscripta Math. 65 (1989) 19-37. | MR | Zbl
,[16] The role of Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Funct. Anal. 89 (1990) 1-52. | MR | Zbl
,[17] Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ. Math. J. 49 (2000) 897-923. | MR | Zbl
, ,[18] Best constant in Sobolev inequality, Ann. Mat. Pura Appl. 110 (1976) 353-372. | MR | Zbl
,