In this article, we study the effect of the Hardy potential on existence, uniqueness, and optimal summability of solutions of the mixed local-nonlocal elliptic problem where ω is a bounded domain in containing the origin and δ3 > 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 δ3.
Biagi, S., Esposito, F., Montoro, L., Vecchi, E. (2025). On mixed local–nonlocal problems with Hardy potential. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, ON LINE FIRST, 1-34 [10.1017/prm.2025.28].
On mixed local–nonlocal problems with Hardy potential
Biagi, Stefano;Vecchi, Eugenio
2025
Abstract
In this article, we study the effect of the Hardy potential on existence, uniqueness, and optimal summability of solutions of the mixed local-nonlocal elliptic problem where ω is a bounded domain in containing the origin and δ3 > 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 δ3.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.



