Regularity and explicit L∞ estimates for a class of nonlinear elliptic systems

Chhetri, MayaMavinga, NsokiPardo San Gil, Rosa María2025-05-162025-05-162025https://hdl.handle.net/20.500.14352/120140We 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.engAttribution-NonCommercial 4.0 Internationalhttp://creativecommons.org/licenses/by-nc/4.0/Regularity and explicit L∞ estimates for a class of nonlinear elliptic systemsjournal articleopen accessA priori estimates in context of PDEsPartial differential equationsAnálisis funcional y teoría de operadoresAnálisis matemático1202 Análisis y Análisis Funcional