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In this paper we study the effect of the Hardy potential on existence, uniqueness and optimal summability of solutions of the mixed local-nonlocal elliptic problem - u + (-) ˢ u - u|x|²=f in, \ u=0 in Rⁿ, where is a bounded domain in Rⁿ containing the origin and > 0. In particular, we will discuss the existence, non-existence and uniqueness of solutions in terms of the summability of f and of the value of the parameter.
Biagi et al. (Tue,) studied this question.
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