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math.AP2026
The Fractional Korn Inequality on Uniform Domains and New Korn Inequalities for Truncated Seminorms
Gabriel Acosta, Irene Drelichman, Ricardo Durán +2
We prove the so-called second case of the fractional Korn inequality for uniform domains. We obtain this result as an application of a novel fractional Korn-type inequality formula…
math.AP2024
Poincaré and Sobolev inequalities with variable exponents and log-Holder continuity only at the boundary
David Cruz-Uribe, Fernando López-García, Ignacio Ojea
We prove Sobolev-Poincaré and Poincaré inequalities in variable Lebesgue spaces , with a bounded John domain, with weaker regularity assump…
math.AP2021
Weighted discrete Hardy inequalities on trees and applications
Fernando López-García, Ignacio Ojea
In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Hölder- domains, where the weights are powers of the distance to the boundary. W…