Title | Nonlinear Diffusion Equations and Their Equilibrium States I [electronic resource] : Proceedings of a Microprogram held August 25-September 12, 1986 / edited by W.-M. Ni, L. A. Peletier, James Serrin |
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Imprint | New York, NY : Springer New York, 1988 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9605-5 |
Descript | XIII, 359 p. online resource |
Table of Contents โ 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 + ?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