On minimizing noncoercive functionals on weakly vlosed sets

Vy Le; Klaus Schmitt

Banach Center Publications (1996)

  • Volume: 35, Issue: 1, page 51-72
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Le, Vy, and Schmitt, Klaus. "On minimizing noncoercive functionals on weakly vlosed sets." Banach Center Publications 35.1 (1996): 51-72. <http://eudml.org/doc/251315>.

@article{Le1996,
abstract = {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.},
author = {Le, Vy, Schmitt, Klaus},
journal = {Banach Center Publications},
keywords = {variational inequalities; P-coercive functional; semi-coercive functional; minimization of functionals; noncoercive functionals; regularization technique; semilinear elliptic problem; quasi-variational inequality},
language = {eng},
number = {1},
pages = {51-72},
title = {On minimizing noncoercive functionals on weakly vlosed sets},
url = {http://eudml.org/doc/251315},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Le, Vy
AU - Schmitt, Klaus
TI - On minimizing noncoercive functionals on weakly vlosed sets
JO - Banach Center Publications
PY - 1996
VL - 35
IS - 1
SP - 51
EP - 72
AB - 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.
LA - eng
KW - variational inequalities; P-coercive functional; semi-coercive functional; minimization of functionals; noncoercive functionals; regularization technique; semilinear elliptic problem; quasi-variational inequality
UR - http://eudml.org/doc/251315
ER -

References

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