Geodesic
Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain
Applications of Mathematics, Tome 36 (1991) no. 5, pp. 368-379

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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.
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.
DOI : 10.21136/AM.1991.104473
Classification : 35D05, 35G30, 35Q99, 73C50, 73K10, 74B20, 74K20, 74P10, 74S30
Keywords: variational solution; Sobolev space; linear continuous functional; operator, curvature; property of coerciveness; weakly lower semicontinuous functional; absolute minimum; functional of energy 
Cibula, Július. Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain. Applications of Mathematics, Tome 36 (1991) no. 5, pp. 368-379. doi: 10.21136/AM.1991.104473
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