On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential

Chaves, Manuela, and García-Azorero, Jesús. "On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential." Journal of the European Mathematical Society 008.2 (2006): 229-242. <http://eudml.org/doc/277243>.

@article{Chaves2006,
abstract = {We present some results concerning the problem $−\Delta u=\lambda \frac\{u\}\{|x|^2\}+u^q$, $u>0$ in $\Omega $, $u|_\{\partial \Omega \}=0$, where $0<q<(N+2)/(N−2)$, $q\ne 1$, $\lambda \ge 0$ and $\Omega $ is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.},
author = {Chaves, Manuela, García-Azorero, Jesús},
journal = {Journal of the European Mathematical Society},
language = {eng},
number = {2},
pages = {229-242},
publisher = {European Mathematical Society Publishing House},
title = {On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential},
url = {http://eudml.org/doc/277243},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Chaves, Manuela
AU - García-Azorero, Jesús
TI - On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 2
SP - 229
EP - 242
AB - We present some results concerning the problem $−\Delta u=\lambda \frac{u}{|x|^2}+u^q$, $u>0$ in $\Omega $, $u|_{\partial \Omega }=0$, where $0<q<(N+2)/(N−2)$, $q\ne 1$, $\lambda \ge 0$ and $\Omega $ is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.
LA - eng
UR - http://eudml.org/doc/277243
ER -