Reaction Diffusion Systems

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.

• Contents -- Preface -- Contributors -- Symmetry and Nonsymmetry in Some Overdetermined Boundary Value Problems /Giovanni Alessandrini and R. Magnanini -- Asymptotical Behavior of Solutions of Some Reaction-Diffusion Systems /Marie-Franroise Bidaut-Veron -- Nonlinear Singular Parabolic Equations /Piotr Biler, Tadeusz Nadzieja and Andrzej Raczynski -- Nonlinear Liouville Theorems / /sabeau Birindelli -- Existence and Regularity Results for Quasilinear Parabolic Equations /Lucio Boccardo -- Elliptic Systems with Various Growth /Lucio Boccardo, Jacqueline Fleckinger-Pelle, and Franrois de Thelin -- Some Uniqueness Results for Liu + f(u) = 0 in RN, N ???? 3 /Carmen Cortazar, Manuel Elgueta, and Patricio Fe /mer -- A Strong Comparison Principle for the Dirichlet p-Laplacian /Mabel Cuesta and Peter Takat -- Geometric Properties of Solutions to Subelliptic Equations in Nilpotent Lie Groups /Donatella Danielli and Nicola Garofalo -- Recent Progress on Super-Diffusive Nonlinear Parabolic Problems /Panagiota Daskalopoulos and Manuel A. de[ Pino -- On Linear Perturbations of Superquadratic Elliptic Systems /Djairo G. de Figueiredo and M. Ramos -- An Age Dependent Regularization of Martin's Problem /William E. Fitzgibbon, J.J. Morgan, M. E. Parrott and G. F. Webb -- Uniqueness and Positivity for Solutions of Equations with the p-Laplacian /Jacqueline Fleckinger-Pelle, Jesus Hernandez, Peter Takat, and Franrois de Thelin -- On the First Curve in the Fucik Spectrum of a Mixed Problem /Jean-Pierre Gossez and A. Marcos -- The Maximum Principle and Positive Principal Eigenfunctions for Polyharmonic Equations /Hans-Christoph Grunau and Guido Sweers -- Positive Solutions for the Logistic Equation with Unbounded Weights /Jesus Hernandez -- Recent Results on Selfsimilar Solutions of Degenerate Nonlinear Diffusion Equations /Josephus Hulshof -- Optimal L 00 and Schauder Estimates for Elliptic and Parabolic Operators with Unbounded Coefficients /Alessandra Lunardi and Vincenza Vespri -- The Quasi-Isothermal Limit in Porous Catalysts /Francisco 1. Mancebo and Jose M. Vega -- On the Reaction-Diffusion Electrolysis Nonlinear Elliptic Equations /Stanis /av Pohozaev -- Existence of Nonnegative Solutions for Generalized p-Laplacians /Humberto Prado and Pedro Ubilla -- Stability and Blow-Up for Dissipative Evolution Equations /Patrizia Pucci and James Serrin -- A Nonlinear Schrodinger Equation Defined on the Whole Space /Ian Schindler -- Asymptotic Behavior for Large Time of Solutions of Nonlinear Evolution Equations with Dissipation /Ilia A. Shishmarev -- Hardy's Inequality for the Stokes Problem /Pavel E. Sobolevskii -- Semilinear Biharmonic Problems on RN /Nikos Stavrakakis -- Magnetic Field Wave Equations for TM-Modes in Nonlinear Optical Waveguides /Charles Stuart -- On the Behavior of Positive Solutions for a Class of Semilinear Elliptic Systems /Cecilia Yarur.