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math.AP2026
Ground state solutions for Hartree type equations driven by superposition operators and Pohozaev Identity
Alessandro Cannone, Silvia Cingolani, Serena Dipierro
We investigate Hartree-type equations driven by a nonlocal operator , defined as a superposition of fractional Laplacians through a signed Borel measure . Under B…
math.AP2026
Blow-up analysis and extremal functions for nonlocal interaction functionals in dimension
A. Cannone, M. Yu
In this paper we study Moser-Trudinger type inequalities for some nonlocal energy functionals in presence of a logarithmic convolution potential, when the domain is a ball of $\mat…