Description: Table of Contents -- Volume l.- On the Initial Growth of the Interfaces in Nonlinear Diffusion-Convection Processes.- Large Time Asymptotics for the Porous Media Equation.- Regularity of Flows in Porous Media: A Survey.- Ground States for the Prescribed Mean Curvature Equation: The Supercritical Case.- Geometric Concepts and Methods in Nonlinear Elliptic Euler-Lagrange Equations.- Nonlinear Parabolic Equations with Sinks and Sources.- Source-type Solutions of Fourth Order Degenerate Parabolic Equations.- Nonuniqueness and Irregularity Results for a Nonlinear Degenerate Parabolic Equation.- Existence and Meyers Estimates for Solutions of a Nonlinear Parabolic Variational Inequality.- Convergence to Traveling Waves for Systems of kolmogorov-like parabolic equations.- Symmetry Breaking in Semilinear Elliptic Equations with Critical Exponents.- Remarks on Saddle Points in the Calculus of Variations.- On the Elliptic Problem ?u - ?u q + ?up = 0.- Nonlinear Elliptic Boundary Value Problems: Lyusternik-Schnirelman Theory, Nodal Properties and Morse Index.- Harnack-type Inequalities for some Degenerate Parabolic Equations.- The Inverse Power Method for Semilinear Elliptic Equations.- Radial Symmetry of the Ground States for a Class of Quasilinear Elliptic Equations.- Existence and Uniqueness of Ground State Solutions of Quasilinear Elliptic Equations.- Blow-up of Solutions of Nonlinear Parabolic Equations.- Solutions of Diffusion Equations in Channel Domains.- A Strong Form of the Mountain Pass Theorem and Application.- Asymptotic Behaviour of Solutions of the Porous Media Equation with Absorption.

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