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Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
 
Edited by: John M. Neuberger Northern Arizona University, Flagstaff, AZ
Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
Softcover ISBN:  978-0-8218-3339-1
Product Code:  CONM/357
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7947-4
Product Code:  CONM/357.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3339-1
eBook: ISBN:  978-0-8218-7947-4
Product Code:  CONM/357.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
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Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
Edited by: John M. Neuberger Northern Arizona University, Flagstaff, AZ
Softcover ISBN:  978-0-8218-3339-1
Product Code:  CONM/357
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7947-4
Product Code:  CONM/357.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3339-1
eBook ISBN:  978-0-8218-7947-4
Product Code:  CONM/357.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3572004; 285 pp
    MSC: Primary 35; 65

    A conference was organized to discuss research in variational methods as applied to nonlinear elliptic PDE. This volume resulted from that gathering. Included are both survey and research papers that address important open questions and offer suggestions on analytical and numerical techniques for solving those open problems.

    It is suitable for graduate students and research mathematicians interested in elliptic partial differential equations.

    Readership

    Graduate students and research mathematicians interested in elliptic partial differential equations.

  • Table of Contents
     
     
    • Articles
    • Alfonso Castro — Semilinear equations with discrete spectrum [ MR 2087165 ]
    • Goong Chen, Yuanhua Deng, Wei-Ming Ni and Jianxin Zhou — Semilinear elliptic boundary value problems with nonlinear oblique boundary conditions, a boundary element monotone iteration approach [ MR 2087166 ]
    • Goong Chen, Zhonghai Ding, Chia-Ren Hu, Wei-Ming Ni and Jianxin Zhou — A note on the elliptic sine-Gordon equation [ MR 2087167 ]
    • Goong Chen, Berthold G. Englert and Jianxin Zhou — Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems [ MR 2087168 ]
    • J. W. Neuberger and R. J. Renka — Sobolev gradients: introduction, applications, problems [ MR 2087169 ]
    • David G. Costa and Hossein Tehrani — Unbounded perturbations of resonant Schrödinger equations [ MR 2087170 ]
    • Jan Čepička, Pavel Drábek and Petr Girg — Quasilinear boundary value problems: existence and multiplicity results [ MR 2087171 ]
    • Pavel Drábek and Stephen B. Robinson — Eigenvalue problems, resonance problems and open problems [ MR 2087172 ]
    • Pablo Padilla — Variational, dynamic and geometric aspects of some nonlinear problems [ MR 2087173 ]
    • Victor L. Shapiro — The perturbed $p$-Laplacian and quadratic growth [ MR 2087174 ]
    • Ian Knowles — Variational methods for ill-posed problems [ MR 2087175 ]
    • John M. Neuberger — GNGA: recent progress and open problems for semilinear elliptic PDE [ MR 2087177 ]
    • Florin Catrina — Critical nonlinearities and symmetric solutions [ MR 2087178 ]
    • Joseph A. Iaia — Non-convergent radial solutions of a semilinear elliptic equation in ${\Bbb R}^N$ [ MR 2087179 ]
    • Zhaosheng Feng — Traveling wave solutions to nonlinear evolution equations [ MR 2087180 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3572004; 285 pp
MSC: Primary 35; 65

A conference was organized to discuss research in variational methods as applied to nonlinear elliptic PDE. This volume resulted from that gathering. Included are both survey and research papers that address important open questions and offer suggestions on analytical and numerical techniques for solving those open problems.

It is suitable for graduate students and research mathematicians interested in elliptic partial differential equations.

Readership

Graduate students and research mathematicians interested in elliptic partial differential equations.

  • Articles
  • Alfonso Castro — Semilinear equations with discrete spectrum [ MR 2087165 ]
  • Goong Chen, Yuanhua Deng, Wei-Ming Ni and Jianxin Zhou — Semilinear elliptic boundary value problems with nonlinear oblique boundary conditions, a boundary element monotone iteration approach [ MR 2087166 ]
  • Goong Chen, Zhonghai Ding, Chia-Ren Hu, Wei-Ming Ni and Jianxin Zhou — A note on the elliptic sine-Gordon equation [ MR 2087167 ]
  • Goong Chen, Berthold G. Englert and Jianxin Zhou — Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems [ MR 2087168 ]
  • J. W. Neuberger and R. J. Renka — Sobolev gradients: introduction, applications, problems [ MR 2087169 ]
  • David G. Costa and Hossein Tehrani — Unbounded perturbations of resonant Schrödinger equations [ MR 2087170 ]
  • Jan Čepička, Pavel Drábek and Petr Girg — Quasilinear boundary value problems: existence and multiplicity results [ MR 2087171 ]
  • Pavel Drábek and Stephen B. Robinson — Eigenvalue problems, resonance problems and open problems [ MR 2087172 ]
  • Pablo Padilla — Variational, dynamic and geometric aspects of some nonlinear problems [ MR 2087173 ]
  • Victor L. Shapiro — The perturbed $p$-Laplacian and quadratic growth [ MR 2087174 ]
  • Ian Knowles — Variational methods for ill-posed problems [ MR 2087175 ]
  • John M. Neuberger — GNGA: recent progress and open problems for semilinear elliptic PDE [ MR 2087177 ]
  • Florin Catrina — Critical nonlinearities and symmetric solutions [ MR 2087178 ]
  • Joseph A. Iaia — Non-convergent radial solutions of a semilinear elliptic equation in ${\Bbb R}^N$ [ MR 2087179 ]
  • Zhaosheng Feng — Traveling wave solutions to nonlinear evolution equations [ MR 2087180 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.