2026-06-27T10:26:35Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1201402025-05-16T23:58:57Zcom_20.500.14352_14col_20.500.14352_15

Chhetri, Maya Mavinga, Nsoki Pardo San Gil, Rosa María 2025-05-16T11:25:51Z 2025-05-16T11:25:51Z 2025 https://hdl.handle.net/20.500.14352/120140 We use De Giorgi-Nash-Moser iteration scheme to establish that weak solutions to a coupled system of elliptic equations with critical growth on the boundary are in L∞(Ω). Moreover, we provide an explicit L∞(Ω)- estimate of weak solutions with subcritical growth on the boundary, in terms of powers of H1(Ω)-norms, by combining the elliptic regularity of weak solutions with Gagliardo--Nirenberg interpolation inequality. eng http://creativecommons.org/licenses/by-nc/4.0/ open access Attribution-NonCommercial 4.0 International Regularity and explicit L∞ estimates for a class of nonlinear elliptic systems journal article