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math.AP2026
Solvability of divergence equation in Lipschitz spaces
María Eugenia Cejas, Ricardo G. Durán
We study the solvability of the divergence equation in bounded domains under homogeneous Dirichlet boundary conditions for data $f\in C^{0,α}(…
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
Solutions of the divergence equation in Hardy and lipschitz spaces
María Eugenia Cejas, Ricardo G. Durán
Given a bounded domain and of zero integral, the existence of a vector fields $\u$ vanishing on and satisfying $\d\u=f$ has been widely studied because of its c…