A functional is considered, whose Euler equation involves a nonlinearity without growth conditions. It is shown that every minimum point of the functional is a solution of the Euler equation in a suitable weak sense.
Degiovanni, M., Zani, S., Euler equations involving nonlinearities without growth conditions, <<POTENTIAL ANALYSIS>>, 1996; 5 (5): 505-512. [doi:10.1007/BF00275517] [https://hdl.handle.net/10807/312953]
Euler equations involving nonlinearities without growth conditions
Degiovanni, Marco
Primo
Conceptualization
;
1996
Abstract
A functional is considered, whose Euler equation involves a nonlinearity without growth conditions. It is shown that every minimum point of the functional is a solution of the Euler equation in a suitable weak sense.
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