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.
On mixed local–nonlocal problems with Hardy potential
Biagi, Stefano;
2025-01-01
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:
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S. Biagi, F. Esposito, L. Montoro, E. Vecchi - On mixed local-nonlocal problems with Hardy potential.pdf
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