Nonlinear Equations: Methods, Models, and Applications

Progress in Nonlinear Differential Equations and Their Applications, V. 54

Daniela Lupo, Carlo D. Pagani, Bernard Ruf

268 pages, parution le 15/10/2003

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Résumé

This volume contains survey and research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001.

Classical topics of nonlinear analysis are considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacob!, Schrodinger and Navier-Stokes, and free boundary problems. Moreover, various models are focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms.

A Riemann Mapping Type Theorem in Higher Dimensions, Part I: The Conformally Flat Case with Umbilic Boundary
Computable Information Content and a Simple Application to the Study of DNA
Bounded Positive Critical Points of Some Multiple Integrals of the Calculus of Variations
Hilbert Type Numbers for Polynomial ODE's
S <sup>2 </sup>-type Parametric Surfaces with Prescribed - Mean Curvature and Minimal Energy
Representations of Solutions of Hamilton-Jacobi Equations
Nonexistence of Global Solutions of Higher Order Evolution Inequalities in R<sup>N </sup>
Morse Index Computations for a Class of Functionals Denned in Banach Spaces
A Global Compactness Result for Elliptic Problems with Critical Nonlinearity on Symmetric Domains
Variational Methods for Functionals with Lack of Strict Convexity
Some Remarks on the Semilinear Wave Equation
Unique Continuation Principles for Some Equations of Benjamin-Ono Type
Well-posedness Results for the Modified Zakharov-Kuznetsov Equation
A Class of Isoinertial One Parameter Families of Selfadjoint Operators
Traveling Waves in Nonlinearly Supported Beams and Plates Solitary Waves Solutions of a Nonlinear Schrodinger Equation
Nontrivial Solutions of a Class of Quasilinear Elliptic Problems Involving Critical Exponents
Solutions of Semilinear Problems in Symmetric Planar Domains -
ODE Behavior and Uniqueness of Branches
Solutions of an Allen-Cahn Model Equation
Some Equations of Non-geometrical Optics
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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Daniela Lupo, Carlo D. Pagani, Bernard Ruf
Parution	15/10/2003
Nb. de pages	268
Format	16 x 24
Couverture	Relié
Poids	600g
Intérieur	Noir et Blanc
EAN13	9783764303983