%0 Journal Article %A Arrieta Algarra, José María %A Carvalho, Alexandre N. %A Rodríguez Bernal, Aníbal %T Critical nonlinearities at the boundary %D 1998 %@ 0764-4442 %U https://hdl.handle.net/20.500.14352/57841 %X 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. %~