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math.AP2026
Quantization for Palais-Smale sequences of the Liouville functional on closed surfaces
Andrea Malchiodi, Francesco Malizia, Luca Martinazzi
In this paper we prove a quantization property for Palais-Smale sequences of functionals related to Liouville equations on compact surfaces. While these equations have been extensi…
math.AP2026
Non-constancy and multiplicity of half-harmonic maps from intervals into the circle
Ali Hyder, Luca Martinazzi
We study one-dimensional half-harmonic maps from the real line into the circle with prescribed exterior data. We show that, for every positive integer , if two disjoint interval…