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.
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
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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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