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

Alberto Ferrero; Filippo Gazzola

doi:10.1016/S0022-0396(03)00088-3

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

Alberto Ferrero
, Filippo Gazzola

Research output: Contribution to journal › Article › peer-review

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 . Poincaré Anal. Non Linéaire, to appear) and Gazzola and Serrin.

Original language	English
Pages (from-to)	53-90
Number of pages	38
Journal	Journal of Differential Equations
Volume	198
Issue number	1
DOIs	https://doi.org/10.1016/S0022-0396(03)00088-3
Publication status	Published - 20 Mar 2004
Externally published	Yes

Keywords

Critical growth
Ground states
m-Laplacian

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10.1016/S0022-0396(03)00088-3

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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 . Poincar{\'e} Anal. Non Lin{\'e}aire, to appear) and Gazzola and Serrin.",

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AU - Gazzola, Filippo

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N2 - 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 . Poincaré Anal. Non Linéaire, to appear) and Gazzola and Serrin.

AB - 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 . Poincaré Anal. Non Linéaire, to appear) and Gazzola and Serrin.

KW - Critical growth

KW - Ground states

KW - m-Laplacian

UR - https://www.scopus.com/pages/publications/1542721007

U2 - 10.1016/S0022-0396(03)00088-3

DO - 10.1016/S0022-0396(03)00088-3

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EP - 90

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

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

Abstract

Keywords

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