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Article Contents

# A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

• We study the effect of a zero order term on existence and optimal summability of solutions to the elliptic problem

$-\text{div}( M(x)\nabla u)- a\frac{u}{|x|^2}=f \text{ in } \Omega, \qquad u=0 \text{ on } \partial \Omega$,

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.

Mathematics Subject Classification: Primary: 35J05, 35J25; Secondary: 46E35.

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