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

Manuela Chaves; Jesús García-Azorero

Journal of the European Mathematical Society (2006)

- Volume: 008, Issue: 2, page 229-242
- ISSN: 1435-9855

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topChaves, 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 -

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