Geodesic
An existence theorem for the v. Kármán equations under the condition of free boundary
Applications of Mathematics, Tome 19 (1974) no. 1, pp. 17-27

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The paper concerns the v. Kármán equations governing the bending of a thin elastic plate under the condition of free boundary. Starting from the definition of a variational solution, the boundary value problem considered is replaced by an equivalent abstract operator equation to which the known theorems of the nonlinear operator theory apply. The main result consists in an existence theorem of a variational solution for the problem under consideration.
The paper concerns the v. Kármán equations governing the bending of a thin elastic plate under the condition of free boundary. Starting from the definition of a variational solution, the boundary value problem considered is replaced by an equivalent abstract operator equation to which the known theorems of the nonlinear operator theory apply. The main result consists in an existence theorem of a variational solution for the problem under consideration.
DOI : 10.21136/AM.1974.103510
Classification : 35B45, 35D05, 35G20, 35Q99 
Naumann, Joachim. An existence theorem for the v. Kármán equations under the condition of free boundary. Applications of Mathematics, Tome 19 (1974) no. 1, pp. 17-27. doi: 10.21136/AM.1974.103510
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