Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms

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Hlavní autor: Neuberger, John M
Médium: E-kniha
Jazyk:angličtina
Vydáno: Providence, Rhode Island American Mathematical Society 2004
Vydání:1
Edice:Contemporary Mathematics
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ISBN:0821833391, 9780821833391
ISSN:0271-4132, 1098-3627
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  • Semilinear equations with discrete spectrum -- Semilinear elliptic boundary value problems with nonlinear oblique boundary conditions, a boundary element monotone iteration approach -- A note on the elliptic sine-Gordon equation -- Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems -- Sobolev gradients: introduction, applications, problems -- Unbounded perturbations of resonant Schrödinger equations -- Quasilinear boundary value problems: existence and multiplicity results -- Eigenvalue problems, resonance problems and open problems -- Variational, dynamic and geometric aspects of some nonlinear problems -- The perturbed <inline-formula content-type="math/mathml"> p p </inline-formula>-Laplacian and quadratic growth -- Variational methods for ill-posed problems -- GNGA: recent progress and open problems for semilinear elliptic PDE -- Critical nonlinearities and symmetric solutions -- Non-convergent radial solutions of a semilinear elliptic equation in <inline-formula content-type="math/mathml"> R N {\Bbb R}^N </inline-formula> -- Traveling wave solutions to nonlinear evolution equations
  • Intro -- Contents -- Introduction to the Proceedings -- Semilinear Equations with Discrete Spectrum -- Semilinear Elliptic Boundary Value Problems with Nonlinear Oblique Boundary Conditions, a Boundary Element Monotone Iteration Approach -- A Note on the Elliptic Sine-Gordon Equation -- Convergence Analysis of an Optimal Scaling Algorithm for Semilinear Elliptic Boundary Value Problems -- Sobolev Gradients: Introduction, Applications, Problems -- Unbounded Perturbations of Resonant Schrodinger Equations -- Quasilinear Boundary Value Problems: Existence and Multiplicity Results -- Eigenvalue Problems, Resonance Problems and Open Problems -- Variational, Dynamic and Geometric Aspects of Some Nonlinear Problems -- The Perturbed p-Laplacian and Quadratic Growth -- Variational Methods for Ill-Posed Problems -- GNGA: Recent Progress and Open Problems for Semilinear Elliptic PDE -- Critical Nonlinearities and Symmetric Solutions -- Non-convergent Radial Solutions of a Semilinear Elliptic Equation in RN -- Traveling Wave Solutions to Nonlinear Evolution Equations