Nonlinear diffusion equations and their equilibrium states, 3 : proceedings from [Softcover reprint of the original 1st ed. 1992] 1461267412, 978-1-4612-6741-6, 978-1-4612-0393-3, 644-1992-91-4

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the

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Nonlinear diffusion equations and their equilibrium states, 3 : proceedings from [Softcover reprint of the original 1st ed. 1992]
 1461267412, 978-1-4612-6741-6, 978-1-4612-0393-3, 644-1992-91-4

Table of contents :
Front Matter....Pages i-x
Blow Up in ℝ n for a Parabolic Equation with a Damping Nonlinear Gradient Term....Pages 1-20
Shrinking Doughnuts....Pages 21-38
Higher Approximations to Eigenvalues for a Nonlinear Elliptic Problem....Pages 39-69
Positive Solutions of Emden Equations in Cone-Like Domains....Pages 71-75
Nonlinear Parabolic Equations Arising in Semiconductor and Viscous Droplets Models....Pages 77-88
A Parabolic Equation with a Mean-Curvature Type Operator....Pages 89-97
Heat Flows and Relaxed Energies for Harmonic Maps....Pages 99-109
Local Existence and Uniqueness of Positive Solutions of the Equation $$\Delta u + \left( {1 + \varepsilon \varphi \left( r \right)} \right){u^{\tfrac{{n + 2}}{{n - 2}}}} = 0$$ , in ℝ n and a Related Equation....Pages 111-128
Singularities of Solutions of a Class of Quasilinear Equations in Divergence Form....Pages 129-144
An Existence Result Via L s Regularity for Some Nonlinear Elliptic Equations....Pages 145-152
Identifying a Time Dependent Unknown Coefficient in a Nonlinear Heat Equation....Pages 153-169
On the Structure of Solutions for Some Semilinear Elliptic Equations....Pages 171-176
A Note on Boundary Regularity for Certain Degenerate Parabolic Equations....Pages 177-182
The Quenching Problem on the N -dimensional Ball....Pages 183-196
Global Solutions for a Class of Monge-Ampère Equations....Pages 197-214
The Structure of Solutions near an Extinction Point in a Semilinear Heat Equation with Strong Absorption: A Formal Approach....Pages 215-236
On a conjecture by Hagan and Brenner....Pages 237-241
A Nonlinear Diffusion-Absorption Equation with Unbounded Initial Data....Pages 243-263
A Free Boundary Problem Arising in Plasma Physics....Pages 265-273
Remarks on Quenching, Blow Up and Dead Cores....Pages 275-286
Bifurcation at boundary points of the continuous spectrum....Pages 287-297
A Comparison Result and Elliptic Equations Involving Subcritical Exponents....Pages 299-318
Advances in Quenching....Pages 319-346
On Some Almost Everywhere Symmetry Theorems....Pages 347-374
Symmetry Properties of Finite Total Mass Solutions of Matukuma Equation....Pages 375-389
An Exact Reduction of Maxwell’s Equations....Pages 391-405
A General I-Theorem for Semilinear Elliptic Equations....Pages 407-416
On Supercritical Phenomena....Pages 417-424
On the Existence and Shape of Solutions to a Semilinear Neumann Problem....Pages 425-436
Global Asymptotic Stability for Strongly Nonlinear Second Order Systems....Pages 437-449
The Existence and Asymptotic Behaviour of Similarity Solutions to a Quasilinear Parabolic Equation....Pages 451-469
Maximal Solutions of Singular Diffusion Equations with General Initial Data....Pages 471-484
The Evolution of Harmonic Maps: Existence, Partial Regularity, and Singularities....Pages 485-491
Two Dimensional Emden-Fowler Equation with Exponential Nonlinearity....Pages 493-512
Global Bifurcation of Positive Solutions in ℝ n ....Pages 513-535
Conformal Asymptotics of the Isothermal Gas Spheres Equation....Pages 537-559
Chemical Interfacial Reaction Models with Radial Symmetry....Pages 561-572
Back Matter....Pages 573-573

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