"The book is worth reading for research workers in meteorology and geophysics, willing to deal with powerful tools of applied mathematics." --MAP

• 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-Ampère 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 Maxwell’ s Equations.- A General I-Theorem for Semilinear Elliptic Equations.- OnSupercritical 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.

"The book is worth reading for research workers in meteorology and geophysics, willing to deal with powerful tools of applied mathematics." --MAP

• 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-Ampère 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 Maxwell’ s Equations.- A General I-Theorem for Semilinear Elliptic Equations.- OnSupercritical 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.