Article
MSC:
35D05,
35G30,
35Q99,
73C50,
73K10,
74B20,
74K20,
74P10,
74S30 | MR 1125638 | Zbl 0754.73035 | DOI: 10.21136/AM.1991.104473
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Keywords:
variational solution; Sobolev space; linear continuous functional; operator, curvature; property of coerciveness; weakly lower semicontinuous functional; absolute minimum; functional of energy
variational solution; Sobolev space; linear continuous functional; operator, curvature; property of coerciveness; weakly lower semicontinuous functional; absolute minimum; functional of energy
Summary:
Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. It is shown that the corresponding functional of energy is coercive and weakly lower semicontinuous. Then the functional of energy attains absolute minimum which is a variational solution of the problem.
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References:
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