On the Existence of Solutions for Abstract Nonlinear Operator Equations
Bollettino dell'Unione Matematica Italiana (2007)
- Volume: 10-B, Issue: 3, page 1089-1100
- ISSN: 0392-4041
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topGalewski, Marek. "On the Existence of Solutions for Abstract Nonlinear Operator Equations." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 1089-1100. <http://eudml.org/doc/290416>.
@article{Galewski2007,
abstract = { We provide a duality theory and existence results for a operator equation $\nabla T(x) = \nabla N(x)$ where $T$ is not necessarily a monotone operator. We use the abstract version of the so called dual variational method. The solution is obtained as a limit of a minimizng sequence whose existence and convergence is proved.},
author = {Galewski, Marek},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {1089-1100},
publisher = {Unione Matematica Italiana},
title = {On the Existence of Solutions for Abstract Nonlinear Operator Equations},
url = {http://eudml.org/doc/290416},
volume = {10-B},
year = {2007},
}
TY - JOUR
AU - Galewski, Marek
TI - On the Existence of Solutions for Abstract Nonlinear Operator Equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 1089
EP - 1100
AB - We provide a duality theory and existence results for a operator equation $\nabla T(x) = \nabla N(x)$ where $T$ is not necessarily a monotone operator. We use the abstract version of the so called dual variational method. The solution is obtained as a limit of a minimizng sequence whose existence and convergence is proved.
LA - eng
UR - http://eudml.org/doc/290416
ER -
References
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