On general boundary value problems and duality in linear elasticity. II
Applications of Mathematics, Tome 25 (1980) no. 1, pp. 11-32
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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.
DOI :
10.21136/AM.1980.103834
Classification :
35J20, 49S05, 73C02, 74B99, 74H99
Keywords: general boundary value problems; principle of minimum potential energy; existence theorems; dual problem
Keywords: general boundary value problems; principle of minimum potential energy; existence theorems; dual problem
@article{10_21136_AM_1980_103834,
author = {H\"unlich, Rolf and Naumann, Joachim},
title = {On general boundary value problems and duality in linear elasticity. {II}},
journal = {Applications of Mathematics},
pages = {11--32},
publisher = {mathdoc},
volume = {25},
number = {1},
year = {1980},
doi = {10.21136/AM.1980.103834},
mrnumber = {0554088},
zbl = {0453.73013},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103834/}
}
TY - JOUR AU - Hünlich, Rolf AU - Naumann, Joachim TI - On general boundary value problems and duality in linear elasticity. II JO - Applications of Mathematics PY - 1980 SP - 11 EP - 32 VL - 25 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103834/ DO - 10.21136/AM.1980.103834 LA - en ID - 10_21136_AM_1980_103834 ER -
%0 Journal Article %A Hünlich, Rolf %A Naumann, Joachim %T On general boundary value problems and duality in linear elasticity. II %J Applications of Mathematics %D 1980 %P 11-32 %V 25 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103834/ %R 10.21136/AM.1980.103834 %G en %F 10_21136_AM_1980_103834
Hünlich, Rolf; Naumann, Joachim. On general boundary value problems and duality in linear elasticity. II. Applications of Mathematics, Tome 25 (1980) no. 1, pp. 11-32. doi: 10.21136/AM.1980.103834
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