A one-dimensional variational problem with gradient constraint

Abstract

In this note we give an explicit characterization of the minimum value of one-dimensional integral variational problem with gradient constraint by a positive measurable function.

Keywords:

• Variational problem
• Gradient constraints
• Limit problem
• Explicit formula
• AMS Subject Classification: 49J45

Notes

E-mail: [email protected]

E-mail: [email protected]

E-mail: [email protected]

Additional information

Notes on contributors

V. V. Zhikov ‡

E-mail: [email protected] E-mail: [email protected]