|
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
Retrieve article in:
PDF DVI PostScript
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 .
References:
-
- 1.
- S. Agmon, Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of
-body Schrödinger operators. Mathematical Notes, 29. Princeton University Press, Princeton, NJ; University of Tokyo Press, Tokyo, 1982. 118 pp. MR 0745286 (85f:35019) - 2.
- B. Gidas, W. M. Ni, L. Nirenberg, Symmetry of positive solutions of nonlinear elliptic equations in
, Mathematical analysis and applications, Part A, pp. 369-402, Academic Press, New York-London, 1981. MR 0634248 (84a:35083) - 3.
- Y. Li, Asymptotic behavior of positive solutions of equations
in , J. Differential Equations 95 (1992), No. 2, pp. 304-330. MR 1165425 (93k:35048) - 4.
- W. M. Ni, I. Takagi, On the shape of least energy solutions to a semi-linear Neumann problem, Comm. Pure Appl. Math 44 (1991), No. 7, 819-851. MR 1115095 (92i:35052)
- 5.
- W. M. Ni, J. Wei, On the location and profile of spike-layer solutions to singularly perturbed semi-linear Dirichlet problems, Comm. Pure Appl. Math. 48 (1995), No. 7, 731-768. MR 1342381 (96g:35077)
- 6.
- 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)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
35B40, 35J70
Retrieve articles in all Journals with MSC
(2000):
35B40, 35J70
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
|