Another Theorem of Classical Solvability ‘In Small’ for One-Dimensional Variational Problems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/article/10.1007/s00205-011-0416-0/fulltext.html
Reference65 articles.
1. Ambrosio L., Ascenzi O., Buttazzo G.: Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. J. Math. Anal. Appl. 142, 301–316 (1989)
2. Aubert G., Tahraoui R.: Théorèmes d’existence pour des problèmes du Calcul of Variations du type: $${\inf \int_0^L f(x,u'(x)dx}$$ et $${\inf \int^L_0 f(x,u(x),u'(x)) dx}$$ . J. Differ. Equ. 33, 1–15 (1979)
3. Ball J.M., Mizel V.J.: One-dimensional variational problems whose minimizers do not satisfy the Euler–Lagrange equation. Arch. Rational Mech. Anal. 90, 325–388 (1985)
4. Ball J.M., Nadirashvili N.S.: Universal singular sets for one-dimensional variational problems. Calc. Var. 1, 417–428 (1993)
5. Botteron B., Dacorogna B.: Existence of solutions for a variational problem associated to models in optimal foraging theory. J. Math. Anal. Appl. 147, 263–276 (1990)
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