Nonlinear elliptic-parabolic equations and B-pseudomonotonicity Original Research Article

Pseudomonotonicity seems to be the good notion to deal with convergence in nonlinear terms of partial differential equations. Lions [1] used two different definitions of pseudomonotonicity for elliptic and parabolic problems, and derived associated existence results. Nonlinear elliptic-parabolic equations are intermediate equations for which an intermediate pseudomonotonicity is defined and an existence result is proved, extending previous results of Alt and Luckhaus [2] and Bermúdez, Durany and Saguez [3].