Reaction Diffusion Systems

Symmetry and non-symmetry in some overdetermined boundary value problems; asymptotical behaviour of solutions of some reaction-diffusion systems; nonlinear singular parabolic equations; nonlinear Liouville theorem; existence and regularity results for quasilinear parabolic equations; elliptic systems with various growth; a strong comparison principle for the Dirichlet p-Laplacian; geometric properties of solutions to subelliptic equations in nilpotent lie groups; recent progress on super-diffusive nonlinear parabolic problems; on linear perturbations of superquadratic elliptic systems; an age dependent regularization of Martin's problem; uniqueness and positivity for solutions of equations with the p-Laplacian; on the first curve in the Fucik spectrum of a mixed problem; the maximum principle and positive principal Eigen functions for polyharmonic equations; positive solutions for the logistic equation with bounded weights. (Part contents).

Biography

GABRIELLA CARISTI is an Associate Professor of Mathematical Analysis at the University of Trieste, Italy. The author or coauthor of numerous scientific publications on ordinary differ­ential equations and elliptic and parabolic systems, she is a member of the Unione Mate­matica ltaliana. Dr. Caristi received the Research degree (1981) from the University of Trieste, Italy. ENZO MITIDIERI is a Professor of Mathematics at the University of Trieste, Italy. He is the author or coauthor of several journal articles on elliptic systems and evolution equations, the coeditor of Semigroup Theory and Applications and Semigroup Theory and Evolution Equa­tions (both titles, Marcel Dekker, Inc.), and a member of the National Group on Functional Analysis. Dr. Mitidieri received the Research degree ( 1983) from the University of Trieste, Italy.