Elliptic and Parabolic Problems

One-Layer Free Boundary Problems with Two Free Boundaries. - New Numerical Solutions for the Brezis-Nirenberg Problem on $$\mathbb{S}^n $$ . - On some Boundary Value Problems for Incompressible Viscous Flows with Shear Dependent Viscosity. - Radiative Heat Transfer in Silicon Purification. - A Decay Result for a Quasilinear Parabolic System. - The Shape of Charged Drops: Symmetrybreaking Bifurcations and Numerical Results. - On the One-dimensional Parabolic Obstacle Problem with Variable Coefficients. - Hardy Potentials and Quasi-linear Elliptic Problems Having Natural Growth Terms. - Recent Advances on Similarity Solutions Arising During Free Convection. - Rellich Relations for Mixed Boundary Elliptic Problems. - Lyapunov-type Inequalities and Applications to PDE. - Gaeta 2004. Elliptic Resonant Problems with a Periodic Nonlinearity. - Harnack Inequality for p-Laplacians on Metric Fractals. - Wave Propagation in Discrete Media. - A Solution of the Heat Equation with a Continuum of Decay Rates. - Finite Volume Scheme for Semiconductor Energy-transport Model. - Asymptotic Behavior of Nonlinear Parabolic Problems with Periodic Data. - Geodesic Computations for Fast and Accurate Surface Remeshing and Parameterization. - On the Newton Body Type Problems. - Some Open Problems on Water Tank Control Systems. - Hölder Estimates for Solutions to a Singular Nonlinear Neumann Problem. - Asymptotic Analysis of the Neumann Problem for the Ukawa Equation in a Thick Multi-structure of Type 3:2:2. - On the Haïm Brezis Pioneering Contributions on the Location of Free Boundaries. - Fractal Conservation Laws: Global Smooth Solutions and Vanishing Regularization. - Stationary and Self-similar Solutions for Coagulation and Fragmentation Equations. - Orlicz Capacities and Applications to PDEs and SobolevMappings. - Energy Forms on Non Self-similar Fractals. - Measure Data and Numerical Schemes for Elliptic Problems. - Brezis-Nirenberg Problem and Coron Problem for Polyharmonic Operators. - Local and Global Properties of Solutions of a Nonlinear Boundary Layer Equation. - Mathematical Models of Aggregation: The Role of Explicit Solutions. - Metastable Behavior of Premixed Gas Flames. - Recent Progress on Boundary Blow-up. - Maximum Principle for Bounded Solutions of the Telegraph Equation: The Case of High Dimensions. - Kolmogorov Equations in Physics and in Finance. - Harnack Inequalities and Gaussian Estimates for a Class of Hypoelliptic Operators. - How to Construct Good Measures. - Bifurcation and Asymptotics for Elliptic Problems with Singular Nonlinearity. - A Model for Hysteresis in Mechanics Using Local Minimizers of Young Measures. - The Precise Lp-theory of Elliptic Equations in the Plane. - Essential Spectrum and Noncontrollability of Membrane Shells. - The Porous Medium Equation. New Contractivity Results. - Large Solutions of Elliptic Equations with Strong Absorption. - Relaxation in Presence of Pointwise Gradient Constraints.