most citedBoundary Value Problems in graph Lipschitz domains in the plane with -measures on the boundary

1 citations · 1 across the 1 of their papers we have counts for

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3 papers

math.AP2025★ 1 cited

Boundary Value Problems in graph Lipschitz domains in the plane with -measures on the boundary

Fernando Ballesta-Yagüe, María J. Carro

We prove several results for the Dirichlet, Neumann and Regularity problems for the Laplace equation in graph Lipschitz domains in the plane, considering -measures on t…

math.AP2024

Transmission problems for simply connected domains in the complex plane

María J. Carro, Virginia Naibo, María Soria-Carro

We study existence and uniqueness of a transmission problem in simply connected domains in the plane with data in weighted Lebesgue spaces by first investigating solvability result…

math.FA2024

Rellich identities for the Hilbert transform

María J. Carro, Virginia Naibo, María Soria-Carro

We prove Hilbert transform identities involving conformal maps via the use of Rellich identity and the solution of the Neumann problem in a graph Lipschitz domain in the plane. We…