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A note on exponential decay properties of ground states for quasilinear elliptic equations

Author(s): Yi Li; Chunshan Zhao
Journal: Proc. Amer. Math. Soc. 133 (2005), 2005-2012.
MSC (2000): Primary 35B40, 35J70
Posted: February 15, 2005
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Abstract | References | Similar articles | Additional information

Abstract: We give an explicit formula for exponential decay properties of ground states for a class of quasilinear elliptic equations in the whole space $\mathbb{R} ^{N}$.


References:

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B. Gidas, W. M. Ni, L. Nirenberg, Symmetry of positive solutions of nonlinear elliptic equations in $R^{n}$, Mathematical analysis and applications, Part A, pp. 369-402, Academic Press, New York-London, 1981. MR 0634248 (84a:35083)

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J. Serrin, M. Tang, Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ. Math. J. 49 (2000) No. 3, pp. 897-923. MR 1803216 (2002d:35072)

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Additional Information:

Yi Li
Affiliation: Department of Mathematics, Hunan Normal University, Changsha, People's Republic of China -- and -- Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
Email: yli@math.uiowa.edu

Chunshan Zhao
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
Email: chuzhao@math.uiowa.edu

DOI: 10.1090/S0002-9939-05-07870-6
PII: S 0002-9939(05)07870-6
Keywords: $m$-Laplace operator, ground states, exponential decay
Received by editor(s): February 25, 2004
Posted: February 15, 2005
Additional Notes: The first author was supported in part by the NSFC (10471052) and the Xiao-Xiang Funds of Hunan Normal University
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2005, American Mathematical Society


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