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math.AP2023★ 1 cited
Planar loops with prescribed curvature via Hardy's inequality
Gabriele Cora, Roberta Musina
We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational, and relies on a Hardy type inequality and its associated functional spac…
math.AP2023
Hardy type inequalities with mixed weights in cones
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate…