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A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential
1. | Dipartimento di Matematica, Università di Roma 1, Piazza A. Moro 2, 00185 Roma |
2. | Dipartimento di Matematica Universitµa di Roma I, Piazza A. Moro 2, 00185 Roma, Italy |
3. | Departamento de Matemáticas, U. Autónoma de Madrid, 28049 Madrid, Spain |
$ -\text{div}( M(x)\nabla u)- a\frac{u}{|x|^2}=f \text{ in } \Omega, \qquad u=0 \text{ on } \partial \Omega$,
with respect to the summability of $f$ and the value of the parameter $a$. Here $\Omega$ is a bounded domain in $\mathbb{R}^N$ containing the origin.
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