Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Part III |
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| Authors: | Alberto Ferrero Filippo Gazzola |
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| Institution: | a Dipartimento di Matematica, via Saldini 50, 20133, Milano, Italy
b Dipartimento di Scienze e T.A., C.so Borsalino 54, 15100, Alessandria, Italy |
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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. Poincaré Anal. Non Linéaire, to appear) and Gazzola and Serrin (Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002) 477). |
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| Keywords: | 35J70 35B40 34A12 |
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