We study the asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Thanks to an additional (fixed) parameter, we show that two different critical exponents play a crucial role in the asymptotic analysis, giving an explanation of the phenomena discovered in Gazzola et al. (Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Ann. Inst. H. Poincare Anal. Non Lineaire, to appear) and Gazzola and Serrin (Ann. Inst. H. Poincare Anal. Non Lineaire 19 (2002) 477). (C) 2003 Elsevier Science (USA). All rights reserved.
Ferrero, A., Gazzola, F. (2004). Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part III. JOURNAL OF DIFFERENTIAL EQUATIONS, 198(1), 53-90 [10.1016/S0022-0396(03)00088-3].
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part III
FERRERO, ALBERTO;
2004
Abstract
We study the asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Thanks to an additional (fixed) parameter, we show that two different critical exponents play a crucial role in the asymptotic analysis, giving an explanation of the phenomena discovered in Gazzola et al. (Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Ann. Inst. H. Poincare Anal. Non Lineaire, to appear) and Gazzola and Serrin (Ann. Inst. H. Poincare Anal. Non Lineaire 19 (2002) 477). (C) 2003 Elsevier Science (USA). All rights reserved.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
