On the conditions under which the euler equation or the maximum principle hold
- Cite this article as:
- Clarke, F.H. & Vinter, R.B. Appl Math Optim (1984) 12: 73. doi:10.1007/BF01449034
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A variational problem is analyzed in which the integrand is a polynomial and satisfies the hypotheses of the classical existence theory. It is shown nonetheless that the solution does not satisfy the usual necessary conditions.