6,745 research outputs found
The Abresch-Gromoll inequality in a non-smooth setting
We prove that the Abresch-Gromoll inequality holds on infinitesimally
Hilbertian CD(K,N) spaces in the same form as the one available on smooth
Riemannian manifolds
A note on global regularity for the weak solutions of fractional p-Laplacian equations
We consider a boundary value problem driven by the fractional p-Laplacian
operator with a bounded reaction term. By means of barrier arguments, we prove
H\"older regularity up to the boundary for the weak solutions, both in the
singular (12) case.Comment: 7 pages, Conferenza tenuta al XXV Convegno Nazionale di Calcolo delle
Variazioni, Levico 2--6 febbraio 201
Nonlocal problems at critical growth in contractible domains
We prove the existence of a positive solution for nonlocal problems involving
the fractional Laplacian and a critical growth power nonlinearity when the
equation is set in a suitable contractible domain.Comment: 17 page
Interactions of the solar neutrinos with the deuterons
Starting from chiral Lagrangians, possessing the SU(2)_L x SU(2)_R local
chiral symmetry, we derive weak axial one-boson exchange currents in the
leading order in the 1/M expansion (M is the nucleon mass). We apply these
currents in calculations of the cross sections for the disintegration of the
deuterons by the low energy neutrinos. The nuclear wave functions are derived
from a variant of the OBEPQB potential and from the Nijmegen 93 and Nijmegen I
nucleon-nucleon interactions. The comparison of our cross sections with those
obtained within the pionless effective field theory and other potential model
calculations shows that the solar neutrino-deuteron cross sections can be
calculated within an accuracy of 3.3 %.Comment: 6 pages, 1 figure, 6 tables, conference tal
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