Local behavior and global existence of positive solutions of $a{u}^{\lambda }\le -\Delta u\le {u}^{\lambda }$
Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) no. 6, pp. 889-901.
@article{AIHPC_2002__19_6_889_0,
author = {Taliaferro, Steven D.},
title = {Local behavior and global existence of positive solutions of $au^\lambda \le - \Delta u \le u^\lambda$},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {889--901},
publisher = {Elsevier},
volume = {19},
number = {6},
year = {2002},
zbl = {1039.35145},
language = {en},
url = {http://archive.numdam.org/item/AIHPC_2002__19_6_889_0/}
}
TY  - JOUR
AU  - Taliaferro, Steven D.
TI  - Local behavior and global existence of positive solutions of $au^\lambda \le - \Delta u \le u^\lambda$
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2002
DA  - 2002///
SP  - 889
EP  - 901
VL  - 19
IS  - 6
PB  - Elsevier
UR  - http://archive.numdam.org/item/AIHPC_2002__19_6_889_0/
UR  - https://zbmath.org/?q=an%3A1039.35145
LA  - en
ID  - AIHPC_2002__19_6_889_0
ER  - 
%0 Journal Article
%A Taliaferro, Steven D.
%T Local behavior and global existence of positive solutions of $au^\lambda \le - \Delta u \le u^\lambda$
%J Annales de l'I.H.P. Analyse non linéaire
%D 2002
%P 889-901
%V 19
%N 6
%I Elsevier
%G en
%F AIHPC_2002__19_6_889_0
Taliaferro, Steven D. Local behavior and global existence of positive solutions of $au^\lambda \le - \Delta u \le u^\lambda$. Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) no. 6, pp. 889-901. http://archive.numdam.org/item/AIHPC_2002__19_6_889_0/

[1] Chen C.-C., Lin C.-S., Estimates of the conformal scalar curvature equation via the method of moving planes, Comm. Pure Appl. Math. 50 (1997) 971-1017. | MR | Zbl

[2] Fowler R.H., Further studies of Emden's and similar differential equations, Quart. J. Math. Oxford Ser. 2 (1931) 259-288. | Zbl

[3] Gidas B., Spruck J., Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 34 (1981) 525-598. | MR | Zbl

[4] Li C., Local asymptotic symmetry of singular solutions to nonlinear elliptic equations, Invent. Math. 123 (1996) 221-231. | MR | Zbl

[5] Schoen R., On the number of constant scalar curvature metrics in a conformal class, in: Lawson H.B., Tenenblat K. (Eds.), Differential Geometry: A Symposium in Honor of Manfredo Do Carmo, Wiley, New York, 1991, pp. 311-320. | MR | Zbl

[6] J. Serrin, H. Zou, Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities, Preprint. | MR

[7] Taliaferro S.D., On the growth of superharmonic functions near an isolated singularity I, J. Differential Equations 158 (1999) 28-47. | MR | Zbl

[8] Taliaferro S.D., On the growth of superharmonic functions near an isolated singularity II, Comm. Partial Differential Equations 26 (2001) 1003-1026. | MR | Zbl

[9] Taliaferro S.D., Isolated singularities of nonlinear elliptic inequalities, Indiana Univ. Math. J. 50 (2001) 1885-1897. | MR | Zbl

[10] Veron L., Singular solutions of some nonlinear elliptic equations, Nonlinear Anal. 5 (1981) 225-242. | MR | Zbl