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On minimizing noncoercive functionals on weakly vlosed sets

Vy LeKlaus Schmitt — 1996

Banach Center Publications

We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. The functionals considered belong to a class which includes semi-coercive, compact-coercive and P-coercive functionals. Some applications to nonlinear partial differential equations are given.

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