A general critical point theory for continuous functions defined on metric spaces has been recently developed. In this paper a new subdifferential, related to that theory, is introduced. In particular, results on the subdifferential of a sum are proved. An example of application to PDE's is sketched. Detailed applications to PDE's are developed in separate papers.
Campa, I., Degiovanni, M., Subdifferential calculus and nonsmooth critical point theory, <<SIAM JOURNAL ON OPTIMIZATION>>, 2000; 10 (4): 1020-1048. [doi:10.1137/S1052623499353169] [https://hdl.handle.net/10807/312922]
Subdifferential calculus and nonsmooth critical point theory
Degiovanni, Marco
Secondo
Conceptualization
2000
Abstract
A general critical point theory for continuous functions defined on metric spaces has been recently developed. In this paper a new subdifferential, related to that theory, is introduced. In particular, results on the subdifferential of a sum are proved. An example of application to PDE's is sketched. Detailed applications to PDE's are developed in separate papers.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
