\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Nonlinear boundary value problems of the calculus of variations

Abstract Related Papers Cited by
  • We consider nonlinear boundary value problems arising in the classical one-dimensional calculus of variations for scalar-valued unknown functions. Conditions for the existence of extremals (solutions of the Euler equation subject to related boundary conditions) are obtained and properties of extremals are discussed. The method of upper and lower solutions (functions) is our main tool. Several Bernstein - Nagumo type conditions are derived directly in terms of the Lagrangian. Both coercive and non-coercive (slow-growth) variational problems are considered.
    Mathematics Subject Classification: Primary: 34B15, 49N60; Secondary: 49K05.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
Open Access Under a Creative Commons license
SHARE

Article Metrics

HTML views() PDF downloads(38) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return