Hardy inequalities with best constants on Finsler metric measure manifolds (Q2659489)

The authors obtained \(L^{p}\)-Hardy inequalities with best constants on Finsler metric measure manifolds with two major ingredients. The first are the Hardy inequalities concerned with distance functions in the Finsler setting and they find out the flag curvature, the Ricci curvature together with two non-Riemannian quantities, i.e., reversibility and S-curvature. The second ingredient are the Hardy inequalities for Finsler \(p\)-sub/superharmonic functions. Further, they investigate the existence of extremals and the Brezis-Vázquez improvement.