RT Journal Article
T1 Regularity and explicit L∞ estimates for a class of nonlinear elliptic systems
A1 Chhetri, Maya
A1 Mavinga, Nsoki
A1 Pardo San Gil, Rosa María
AB 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.
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/120140
UL https://hdl.handle.net/20.500.14352/120140
LA eng
DS Docta Complutense
RD 17 may 2025