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Positive Solutions of {Delta u}+u^{(n+2)/(n-2)}=0 on Contractible Domains
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@Article{JPDE-2-83,
author = {Ding Weiyue},
title = {Positive Solutions of {Delta u}+u^{(n+2)/(n-2)}=0 on Contractible Domains},
journal = {Journal of Partial Differential Equations},
year = {1989},
volume = {2},
number = {4},
pages = {83--88},
abstract = { We show that there are bounded contractible domains in R^n, n ≥ 3, on which the Dirichlet problem for the equation Δu +u^{(n+2)/(n-2)} = 0 admit positive solutions. This result, combining with the well-known nonexistence result of Pohozaev, implies that geometry of the domains plays a crucial role in the solvability of the problem. },
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5845.html}
}
TY - JOUR
T1 - Positive Solutions of {Delta u}+u^{(n+2)/(n-2)}=0 on Contractible Domains
AU - Ding Weiyue
JO - Journal of Partial Differential Equations
VL - 4
SP - 83
EP - 88
PY - 1989
DA - 1989/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5845.html
KW -
AB - We show that there are bounded contractible domains in R^n, n ≥ 3, on which the Dirichlet problem for the equation Δu +u^{(n+2)/(n-2)} = 0 admit positive solutions. This result, combining with the well-known nonexistence result of Pohozaev, implies that geometry of the domains plays a crucial role in the solvability of the problem.
Ding Weiyue. (1989). Positive Solutions of {Delta u}+u^{(n+2)/(n-2)}=0 on Contractible Domains.
Journal of Partial Differential Equations. 2 (4).
83-88.
doi:
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