# On general boundary value problems and duality in linear elasticity. II

Aplikace matematiky (1980)

- Volume: 25, Issue: 1, page 11-32
- ISSN: 0862-7940

## Access Full Article

top## Abstract

top## How to cite

topHünlich, Rolf, and Naumann, Joachim. "On general boundary value problems and duality in linear elasticity. II." Aplikace matematiky 25.1 (1980): 11-32. <http://eudml.org/doc/15127>.

@article{Hünlich1980,

abstract = {The present part of the paper completes the discussion in Part I in two directions. Firstly, in Section 5 a number of existence theorems for a solution to Problem III (principle of minimum potential energy) is established. Secondly, Section 6 and 7 are devoted to a discussion of both the classical and the abstract approach to the duality theory as well as the relationship between the solvability of Problem III and its dual one.},

author = {Hünlich, Rolf, Naumann, Joachim},

journal = {Aplikace matematiky},

keywords = {general boundary value problems; principle of minimum potential energy; existence theorems; dual problem; general boundary value problems; principle of minimum potential energy; existence theorems; dual problem},

language = {eng},

number = {1},

pages = {11-32},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On general boundary value problems and duality in linear elasticity. II},

url = {http://eudml.org/doc/15127},

volume = {25},

year = {1980},

}

TY - JOUR

AU - Hünlich, Rolf

AU - Naumann, Joachim

TI - On general boundary value problems and duality in linear elasticity. II

JO - Aplikace matematiky

PY - 1980

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 25

IS - 1

SP - 11

EP - 32

AB - The present part of the paper completes the discussion in Part I in two directions. Firstly, in Section 5 a number of existence theorems for a solution to Problem III (principle of minimum potential energy) is established. Secondly, Section 6 and 7 are devoted to a discussion of both the classical and the abstract approach to the duality theory as well as the relationship between the solvability of Problem III and its dual one.

LA - eng

KW - general boundary value problems; principle of minimum potential energy; existence theorems; dual problem; general boundary value problems; principle of minimum potential energy; existence theorems; dual problem

UR - http://eudml.org/doc/15127

ER -

## References

top- Duvaut G., Lions J. L., Les inéquations en mécanique et en physique, Dunod, Paris 1972. (1972) Zbl0298.73001MR0464857
- Ekeland I., Temam R., Analyse convexe et problèmes variationnels, Dunod, Gauthier- Villars, Paris 1974. (1974) Zbl0281.49001MR0463993
- Fichera G., Problemi elastostatici con vincoli unilaterali: il problemadi Signorini con ambigue condizioni al contorno, Atti Accad. Naz. Lincei, Memorie (Cl. Sci. fis., mat. e nat.), serie 8, vol. 7 (1964), 91-140. (1964) MR0178631
- Fichera G., Boundary value problems of elasticity with unilateral constraints, In: Handbuch der Physik (Herausg.: S. Flügge), Band VI a/2, Springer, 1972. (1972)
- Gajewski H., Gröger K., 10.1002/mana.19760730124, Math. Nachr. 73 (1976), ЗІ5-333. (1976) MR0435959DOI10.1002/mana.19760730124
- Hess P., 10.1512/iumj.1974.23.23055, Indiana Univ. Math. J., 23 (1974), 645-654. (1974) Zbl0259.47051MR0341214DOI10.1512/iumj.1974.23.23055
- Hlaváček I., Variational principles in the linear theory of elasticity for general boundary conditions, Apl. Matem., 12 (1967), 425 - 447. (1967) MR0231575
- Hlaváček I., Nečas J., 10.1007/BF00249519, Arch. Rat. Mech. Anal., 36 (1970), 312-334. (1970) Zbl0193.39002MR0252845DOI10.1007/BF00249519
- Ioffe A. D., Tikhomirov V. M., The theory of extremum problems, (Russian). Moscow, 1974. (1974)
- Krein S. G., Linear equations in a Banach space, (Russian). Moscow, 1971. (1971) MR0374949
- Lions J. L., Stampacchia G., 10.1002/cpa.3160200302, Comm. Pure Appl. Math., 20 (1967), 493-519. (1967) Zbl0152.34601MR0216344DOI10.1002/cpa.3160200302
- Nayroles B., Duality and convexity in solid equilibrium problems, Laboratoire Méc. et d'Accoustique, C.N.R.S., Marseille 1974. (1974)
- Rockafellar R. T., 10.2140/pjm.1967.21.167, Pacific J. Math., 21 (1967), 167-187. (1967) Zbl0154.44902MR0211759DOI10.2140/pjm.1967.21.167
- Schatzman M., Problèmes aux limites non linéaires, non coercifs, Ann. Scuola Norm. Sup. Pisa, 27, serie III (1973), 640-686. (1973) MR0380545

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.