Open AccessOn bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential
Author(s) -
Manuela Yuste Chaves,
Jesús García-Azorero
Publication year - 2006
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.4171/jems/49
Subject(s) - mathematics , uniqueness , bifurcation , mathematical analysis , elliptic curve , quarter period , pure mathematics , nonlinear system , physics , quantum mechanics
We will present some results concerning the problem \begin{equation}\label{eq:sl} \left\{ \begin{array}{ll} & -\D u = \lambda \dfrac {u}{|x|^2}+u^q \, , \, \, u > 0 \hbox{ in }\O,\\ & u|_{\p \O}=0, \end{array} \right. \end{equation} where $0
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