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Elliptic equations with multi-singular inverse-square potentials and critical nonlinearity

โœ Scribed by Felli V., Terracini S.


Year
2000
Tongue
English
Leaves
26
Category
Library

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In this paper, the author considers semilinear elliptic equations of the form $-\Delta u- \frac{\lambda}{|x|^2}u +b(x)\,h(u)=0$ in $\Omega\setminus\{0\}$, where $\lambda$ is a parameter with $-\infty<\lambda\leq (N-2)^2/4$ and $\Omega$ is an open subset in $\mathbb{R}^N$ with $N\geq 3$ such that $0\