A perturbation problem in the presence of affine symmetries

Tullio Valent

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1996)

  • Volume: 7, Issue: 4, page 253-266
  • ISSN: 1120-6330

Abstract

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An approach to a local analysis of solutions of a perturbation problem is proposed when the unperturbed operator has affine symmetries. The main result is a local theorem on existence, uniqueness, and analytic dependence on a parameter.

How to cite

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Valent, Tullio. "A perturbation problem in the presence of affine symmetries." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 7.4 (1996): 253-266. <http://eudml.org/doc/244105>.

@article{Valent1996,
abstract = {An approach to a local analysis of solutions of a perturbation problem is proposed when the unperturbed operator has affine symmetries. The main result is a local theorem on existence, uniqueness, and analytic dependence on a parameter.},
author = {Valent, Tullio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Perturbation problems; Affine symmetries for operators; Existence theorems; local analysis of solutions of a perturbation problem; unperturbed operator has affine symmetries; local theorem; existence; uniqueness; analytic dependence},
language = {eng},
month = {12},
number = {4},
pages = {253-266},
publisher = {Accademia Nazionale dei Lincei},
title = {A perturbation problem in the presence of affine symmetries},
url = {http://eudml.org/doc/244105},
volume = {7},
year = {1996},
}

TY - JOUR
AU - Valent, Tullio
TI - A perturbation problem in the presence of affine symmetries
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1996/12//
PB - Accademia Nazionale dei Lincei
VL - 7
IS - 4
SP - 253
EP - 266
AB - An approach to a local analysis of solutions of a perturbation problem is proposed when the unperturbed operator has affine symmetries. The main result is a local theorem on existence, uniqueness, and analytic dependence on a parameter.
LA - eng
KW - Perturbation problems; Affine symmetries for operators; Existence theorems; local analysis of solutions of a perturbation problem; unperturbed operator has affine symmetries; local theorem; existence; uniqueness; analytic dependence
UR - http://eudml.org/doc/244105
ER -

References

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  1. HIRSCH, M. W., Differential topology. Springer-Verlag, New York1976. Zbl0356.57001MR448362
  2. LE DRET, H., Structure of the sets of equilibrated loads in nonlinear elasticity and applications to existence and nonexistence. J. Elasticity, vol. 17, 1987, 123-141. Zbl0654.73029MR885602DOI10.1007/BF00043020
  3. VALENT, T., Boundary Value Problems of Finite Elasticity. Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data. Springer-Verlag, New York1988. Zbl0648.73019MR917733DOI10.1007/978-1-4612-3736-5
  4. VALENT, T., An abstract setting for boundary problems with affine symmetries. Rend. Mat. Acc. Lincei, s. 9, vol. 7, 1996, 47-58. Zbl0871.47043MR1437651

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