Skip to main content
SpringerLink
Log in

Coordinate Transformation Method for the Extremization of Multiple Integrals

  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

In this paper, we generalize a coordinate transformation method, due to Leitmann (Ref. 1), for free problems in the calculus of variations to analogous problems with multiple integrals.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Leitmann (1967) ArticleTitleA Note on Absolute Extrema of Certain Integrals International Journal of Nonlinear Mechanics 2 55–59 Occurrence Handle0148.10702 Occurrence Handle37 #5750

    MATH  MathSciNet  Google Scholar 

  2. L.D. Berkovitz (2002) Convexity and Optimization in \(\mathbb{R}^n\) John Wiley and Sons New York, NY

    Google Scholar 

  3. G. Leitmann (2001) ArticleTitleOn a Class of Direct Optimization Problems Journal of Optimization Theory and Applications 108 467–482 Occurrence Handle10.1023/A:1017507006157 Occurrence Handle0983.49002 Occurrence Handle2002b:49005

    Article  MATH  MathSciNet  Google Scholar 

  4. D.A. Carlson (2002) ArticleTitleAn Observation on Two Methods of Obtaining Solutions to Variational Problems Journal of Optimization Theory and Applications 114 345–362 Occurrence Handle10.1023/A:1016035718160 Occurrence Handle1017.49002 Occurrence Handle2003j:49004

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Leitmann (2004) ArticleTitleA Direct Method of Optimization and Its Applications to a Class of Differential Games Dynamics of Continuous, Discrete, and Impulsive Systems, Series A: Mathematical Analysis 11 191–204 Occurrence Handle02075189 Occurrence Handle2035262

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Reviews, Ann Arbor, Michigan

    D. A. Carlson (Associate Editor)

  2. Professor Emeritus and Professor in the Graduate School, University of California at Berkeley, Berkeley, California

    G. Leitmann (Professor)

Authors
  1. D. A. Carlson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Leitmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carlson, D.A., Leitmann, G. Coordinate Transformation Method for the Extremization of Multiple Integrals. J Optim Theory Appl 127, 523–533 (2005). https://doi.org/10.1007/s10957-005-7500-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10957-005-7500-2

Keywords

Search

Navigation