The Lavrentiev phenomenon for invariant variational problems
From MaRDI portal
Publication:1109324
DOI10.1007/BF00250924zbMath0655.49003OpenAlexW2061036199MaRDI QIDQ1109324
Arthur C. Heinricher, Victor J. Mizel
Publication date: 1988
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00250924
Sensitivity, stability, well-posedness (49K40) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Absolutely continuous real functions in one variable (26A46)
Related Items
On the Lavrentiev phenomenon for autonomous second-order integrands, A numerical method for detecting singular minimizers, A criterion for continuity of an integral functional on a sequence of functions, The Lavrentieff phenomenon for quadratic functionals, Interpretation of the Lavrentiev phenomenon by relaxation, Interpretation of Lavrentiev Phenomenon by Relaxation: The Higher Order Case, The Lavrentiev phenomenon in nonlinear elasticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
- A numerical method for detecting singular minimizers
- A note on approximation of optimal solutions of free problems of the calculus of variations
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- Absolute continuity on tracks and mappings of Sobolev spaces
- Existence theorems for Bolza problems in the calculus of variations
- Singular minimizers for regular one-dimensional problems in the calculus of variations
- Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
- On The Lavrentiev Phenomenon
- A New Example of the Lavrentiev Phenomenon
- Invariant variation problems
