From an October 1995 conference in Trieste, Italy 28 research papers and literature surveys consider the theory of elliptic, parabolic, and hyperbolic problems and their related applications. Among the topics are the existence and non- existence of solutions for semi-linear and quasilinear elliptic equations and systems, qualitative properties of solutions for elliptic and parabolic equations, maximum and comparison principles for linear and quasilinear operators, elliptic bifurcation problems, higher-order semi-linear elliptic equations, and applications to population biology models. Reproduced from typescripts. No index. Annotation c. by Book News, Inc., Portland, Or.
Preface iii(4) Contributors vii Symmetry and Nonsymmetry in Some Overdetermined Boundary Value Problems 1(12) Giovanni Alessandrini R. Magnanini Asymptotical Behavior of Solutions of Some Reaction-Diffusion Systems 13(8) Marie-Francoise Bidaut-Veron Nonlinear Singular Parabolic Equations 21(16) Piotr Biler Tadeusz Nadzieja Andrzej Raczynski Nonlinear Liouville Theorems 37(14) Isabeau Birindelli Existence and Regularity Results for Quasilinear Parabolic Equations 51(8) Lucio Boccardo Elliptic Systems with Various Growth 59(8) Lucio Boccardo Jacqueline Fleckinger-Pelle Francois de Thelin Some Uniqueness Results for XXXu+f(u) = O in R(N), N Greater than Equal to 3 67(12) Carmen Cortazar Manuel Elgueta Patricio Felmer A Strong Comparison Principle for the Dirichlet p-Laplacian 79(10) Mabel Cuesta Peter Takac Geometric Properties of Solutions to Subelliptic Equations in Nilpotent Lie Groups 89(18) Donatella Danielli Nicola Garofalo Recent Progress on Super-Diffusive Nonlinear Parabolic Problems 107(14) Panagiota Daskalopoulos Manuel A. del Pino On Linear Perturbations of Superquadratic Elliptic Systems 121(10) Djairo G. de Figueiredo M. Ramos An Age Dependent Regularization of Martins Problem 131(10) William E. Fitzgibbon J.J. Morgan M.E. Parrott G.F. Webb Uniqueness and Positivity for Solutions of Equations with the p-Laplacian 141(16) Jacqueline Fleckinger-Pelle Jesus Hernandez Peter Takac Francois de Thelin On the First Curve in the Fucik Spectrum of a Mixed Problem 157(6) Jean-Pierre Gossez A. Marcos The Maximum Principle and Positive Principal Eigenfunctions for Polyharmonic Equations 163(20) Hans-Christoph Grunau Guido Sweers Positive Solutions for the Logistic Equation with Unbounded Weights 183(16) Jesus Hernandez Recent Results on Selfsimilar Solutions of Degenerate Nonlinear Diffusion Equations 199(18) Josephus Hulshof Optimal L(XXX) and Schauder Estimates for Elliptic and Parabolic Operators with Unbounded Coefficients 217(24) Alessandra Lunardi Vincenzo Vespri The Quasi-Isothermal Limit in Porous Catalysts 241(14) Francisco J. Mancebo Jose M. Vega On the Reaction-Diffusion Electrolysis Nonlinear Elliptic Equations 255(34) Stanislav Pohozaev Existence of Nonnegative Solutions for Generalized p-Laplacians 289(10) Humberto Prado Pedro Ubilla Stability and Blow-Up for Dissipative Evolution Equations 299(20) Patrizia Pucci James Serrin A Nonlinear Schrodinger Equation Defined on the Whole Space 319(16) Ian Schindler Asymptotic Behavior for Large Time of Solutions of Nonlinear Evolution Equations with Dissipation 335(14) Ilia A. Shishmarev Hardys Inequality for the Stokes Problem 349(16) Pavel E. Sobolevskii Semilinear Biharmonic Problems on R(N) 365(12) Nikos Stavrakakis Magnetic Field Wave Equations for TM-Modes in Nonlinear Optical Waveguides 377(24) Charles Stuart On the Behavior of Positive Solutions for a Class of Semilinear Elliptic Systems 401 Cecilia Yarur
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.
