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math.AP2024
On mixed local-nonlocal problems with Hardy potential
Stefano Biagi, Francesco Esposito, Luigi Montoro +1
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 $$-Δu + (-Δ)^s u…
math.AP2024
The Classification of all weak solutions to in the half-space
Luigi Montoro, Luigi Muglia, Berardino Sciunzi
We provide the classification of all the positive solutions to in the half space, under minimal assumption.