RT Journal Article T1 Critical nonlinearities at the boundary A1 Arrieta Algarra, José María A1 Carvalho, Alexandre N. A1 Rodríguez Bernal, Aníbal AB We prove existence, uniqueness and regularity of solutions for heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Ohm), W-1,W-q(Ohm), 1 < q < infinity, or measures and with critically growing nonlinearities. PB Elsevier SN 0764-4442 YR 1998 FD 1998-08 LK https://hdl.handle.net/20.500.14352/57841 UL https://hdl.handle.net/20.500.14352/57841 LA eng NO CNPq -Ministry of Science and Technology - Brazil NO Universidad Complutense de Madrid (Sabatical Position) NO DGES DS Docta Complutense RD 13 abr 2025