Title | Nonlinear Diffusion Equations and Their Equilibrium States, 3 [electronic resource] : Proceedings from a Conference held August 20-29, 1989 in Gregynog, Wales / edited by N. G. Lloyd, W. M. Ni, L. A. Peletier, J. Serrin |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1992 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0393-3 |
Descript | X, 572 p. online resource |
Blow up in Rn for a Parabolic Equation with a Damping Nonlinear Gradient Term -- Shrinking Doughnuts -- Higher Approximations to Eigenvalues for a Nonlinear Elliptic Problem -- Positive Solutions of Emden Equations in Cone-Like Domains -- Nonlinear Parabolic Equations Arising in Semiconductor and Viscous Droplets Models -- A Parabolic Equation with a Mean-Curvature Type Operator -- Heat Flows and Relaxed Energies for Harmonic Maps -- Local Existence and Uniqueness of Positive Solutions of the Equation ?u + (1 + ??(r))u(n+2)/(n-2) = 0, in Rn and a Related Equation -- Singularities of Solutions of a Class of Quasilinear Equations in Divergence Form -- An Existence Result Via Ls-Regularity for Some Nonlinear Elliptic Equations -- Identifying a Time-Dependent Unknown Coefficient in a Nonlinear Heat Equation -- On the Structure of Solutions for Some Semilinear Elliptic Equations -- A Note on Boundary Regularity for Certain Degenerate Parabolic Equations -- The Quenching Problem on the N -dimensional Ball -- Global Solutions for a Class of Monge-Ampรจre Equations -- The Structure of Solutions near an Extinction Point in a Semilinear Heat Equation with Strong Absorption: A Formal Approach -- On a Conjecture by Hagan and Brenner -- A Nonlinear Diffusion-Absorption Equation with Unbounded Initial Data -- A Free Boundary Problem Arising in Plasma Physics -- Remarks on Quenching, Blow Up and Dead Cores -- Bifurcation at Boundary Points of the Continuous Spectrum -- A Comparison Result and Elliptic Equations Involving Subcritical Exponents -- Advances in Quenching -- On Some Almost Everywhere Symmetry Theorems -- Symmetry Properties of Finite Total Mass Solutions of Matukuma Equation -- An Exact Reduction of Maxwellโ s Equations -- A General I-Theorem for Semilinear Elliptic Equations -- On Supercritical Phenomena -- On the Existence and Shape of Solutions to a Semilinear Neumann Problem -- Global Asymptotic Stability for Strongly Nonlinear Second Order Systems -- The Existence and Asymptotic Behaviour of Similarity Solutions to a Quasilinear Parabolic Equation -- Maximal Solutions of Singular Diffusion Equations with General Initial Data -- The Evolution of Harmonic Maps: Existence, Partial Regularity, and Singularities -- Two Dimensional Emden-Fowler Equation with Exponential Nonlinearity -- Global Bifurcation of Positive Solutions in Rn -- Conformai Asymptotics of the Isothermal Gas Spheres Equation -- Chemical Interfacial Reaction Models with Radial Symmetry