# Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems

Archivum Mathematicum (2004)

- Volume: 040, Issue: 2, page 209-217
- ISSN: 0044-8753

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topKamo, Ken-ichi. "Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems." Archivum Mathematicum 040.2 (2004): 209-217. <http://eudml.org/doc/249300>.

@article{Kamo2004,

abstract = {This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.},

author = {Kamo, Ken-ichi},

journal = {Archivum Mathematicum},

keywords = {quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence; quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence},

language = {eng},

number = {2},

pages = {209-217},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems},

url = {http://eudml.org/doc/249300},

volume = {040},

year = {2004},

}

TY - JOUR

AU - Kamo, Ken-ichi

TI - Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems

JO - Archivum Mathematicum

PY - 2004

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 040

IS - 2

SP - 209

EP - 217

AB - This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.

LA - eng

KW - quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence; quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence

UR - http://eudml.org/doc/249300

ER -

## References

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- Kamo K., Usami H., Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity, Hiroshima Math. J. 31 (2001), 35–49. Zbl0997.34038MR1820693
- Kura T., The weak supersolution-subsolution method for second order quasilinear elliptic equations, Hiroshima Math. J. 19 (1989), 1–36. (1989) Zbl0735.35056MR1009660
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- Mizukami M., Naito M., Usami H., Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations, Hiroshima Math. J. 32 (2002), 51–78. Zbl1017.34053MR1892669
- Tanigawa T., Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations, Adv. Math. Sci. Appl. 9 (1999), 907–938. (1999) Zbl1025.34043MR1725693

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