Universal singular sets for one-dimensional variational problems

Author:

Ball J. M.,Nadirashvili N. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference8 articles.

1. Ball, J.M., Mizel, V.J.: One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equations. Arch. Ration. Mech. Anal.90, 325?388 (1985)

2. Clarke, F.H., Vinter, R.B.: Regularity of solutions to variational problems with polynomial lagrangians. Bull. Pol. Acad. Sci.34, 73?78 (1986)

3. Davie, A.M.: Singular minimizers in the calculus of variations in one dimension. Arch. Ration. Mech. Anal.101, 161?177 (1988)

4. Ne?as, J.: On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems. In: Fábera, J. (ed.) Equadiff IV, Praha. (Lect. Notes Math., vol. 703) Berlin, Heidelberg, New York: Springer 1979

5. Sychev, M.A.: On the regularity of solutions of some variational problems. Sov. Math. Dokl.43, 292?296 (1991)

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