Classical one-dimensional, autonomous Lagrange problems are considered. In absence of any smoothness, convexity or coercivity condition on the energy density, we prove a DuBois-Reymond type necessary condition, expressed as a differential inclusion involving the subdifferential of convex analysis. As a consequence, a non-existence result is obtained.

Necessary conditions and non-existence results for autonomous nonconvex variational problems / G. CUPINI; GUIDORZI M; MARCELLI C. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 243:(2007), pp. 329-348. [10.1016/j.jde.2007.05.035]

Necessary conditions and non-existence results for autonomous nonconvex variational problems

CUPINI, GIOVANNI;
2007

Abstract

Classical one-dimensional, autonomous Lagrange problems are considered. In absence of any smoothness, convexity or coercivity condition on the energy density, we prove a DuBois-Reymond type necessary condition, expressed as a differential inclusion involving the subdifferential of convex analysis. As a consequence, a non-existence result is obtained.
243
329
348
G. CUPINI; GUIDORZI M; MARCELLI C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/251222
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