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Progress in variational methods [electronic resource] : proceedings of the International Conference on Variational Methods, Tianjin, China, 18-22 May 2009 / edited by Chungen Liu, Yiming Long.

By: Contributor(s): Material type: TextTextSeries: Nankai series in pure, applied mathematics and theoretical physics ; v. 7.Publication details: Singapore ; Hackensack, NJ : World Scientific, ©2011.Description: 1 online resource (x, 238 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789814327848
  • 9814327840
Other title:
  • ICVAM-2
Subject(s): Genre/Form: Additional physical formats: Print version:: Progress in variational methods.DDC classification:
  • 515.353 22
LOC classification:
  • QA427 .I58 2009eb
Online resources:
Contents:
List of members of the scientific committee, the organizing committee and the invited speakers of ICVAM-2 -- On 2-tori having a pole / V. Bangert -- The nonlinear Schroedinger equation : Existence, stability and dynamics of solitons / V. Benci, M. Ghimenti and A.M. Micheletti -- Turing patterns and standing waves in Fitzhugh-Nagumo type systems / C.-N. Chen and S.-Y. Kung -- Variational principle and linear stability of periodic orbits in celestial mechanics / X. Hu and S. Sun -- Remarks on mean value properties / Y.Y. Li and L. Nguyen -- Brake orbits in bounded convex symmetric domains / C. Liu and D. Zhang -- Elliptic systems on [symbol] with nonlinearities of linear growth / Z. Liu, J. Su and Z.-Q. Wang -- Recent progress on closed geodesics in some compact simply connected manifolds / Y. Long -- Shortest curves associated to a degenerate Jacobi metric on [symbol] / J.N. Mather -- Topological bifurcation theory : Old and new / J. Mawhin -- An equivariant CW-complex for the free loop space of a Finsler manifold / H.-B. Rademacher -- Floer homology, relative braid classes, and low dimensional dynamics / R. Vandervorst -- Exponential growth rate of paths and its connection with dynamics / Z. Xia and P. Zhang -- Rabinowitz's theorems revisited / W. Zou.
Summary: In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis : critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful.
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"The Second International Conference on Variational Methods (ICVAM-2) was held from May 18th to 22nd of 2009 at the Chern Institute of Mathematics, Nankai University, Tianjin, China."--Preface.

Includes bibliographical references.

List of members of the scientific committee, the organizing committee and the invited speakers of ICVAM-2 -- On 2-tori having a pole / V. Bangert -- The nonlinear Schroedinger equation : Existence, stability and dynamics of solitons / V. Benci, M. Ghimenti and A.M. Micheletti -- Turing patterns and standing waves in Fitzhugh-Nagumo type systems / C.-N. Chen and S.-Y. Kung -- Variational principle and linear stability of periodic orbits in celestial mechanics / X. Hu and S. Sun -- Remarks on mean value properties / Y.Y. Li and L. Nguyen -- Brake orbits in bounded convex symmetric domains / C. Liu and D. Zhang -- Elliptic systems on [symbol] with nonlinearities of linear growth / Z. Liu, J. Su and Z.-Q. Wang -- Recent progress on closed geodesics in some compact simply connected manifolds / Y. Long -- Shortest curves associated to a degenerate Jacobi metric on [symbol] / J.N. Mather -- Topological bifurcation theory : Old and new / J. Mawhin -- An equivariant CW-complex for the free loop space of a Finsler manifold / H.-B. Rademacher -- Floer homology, relative braid classes, and low dimensional dynamics / R. Vandervorst -- Exponential growth rate of paths and its connection with dynamics / Z. Xia and P. Zhang -- Rabinowitz's theorems revisited / W. Zou.

In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis : critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful.

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