We show the existence of a dense subset of such that, for g in it, the problem admits a solution for every lower semicontinuous h satisfying growth conditions
Cellina, A., Mariconda, C. (1994). The existence question in the calculus of variations: a density result. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 120(4), 1145-1150 [10.1090/S0002-9939-1994-1174488-2].
The existence question in the calculus of variations: a density result
CELLINA, ARRIGO;
1994
Abstract
We show the existence of a dense subset of such that, for g in it, the problem admits a solution for every lower semicontinuous h satisfying growth conditions
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