On the minimizers of calculus of variations problems in Hilbert spaces
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
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AbstractThe objective of this paper is to discuss existence, uniqueness and regularity issues of minimizers of one dimensional calculus of variations problem in Hilbert spaces. © 2014 Springer-Verlag Berlin Heidelberg.
SponsorsD. Gomes was partially supported by CAMGSD-LARSys through FCT-Portugal and by grants PTDC/MAT/114397/2009, UTAustin/MAT/0057/2008, and UTA-CMU/MAT/0007/2009. L. Nurbekyan was supported by the UT Austin-Portugal partnership through the FCT fellowship SFRH/BD/33972/2009 and by grant UTA-CMU/MAT/0007/2009.