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Subharmonicity Results for the Stationary Solutions of Isotropic Energy Functionals by Aleksis Koski is a Mathematics article available to read on EtoBox.
What is Subharmonicity Results for the Stationary Solutions of Isotropic Energy Functionals about?
## Abstract We study solutions of Euler–Lagrange equations for isotropic energy functionals, generalizing a previous result on __p__-harmonic mappings. We classify all stored energy functions which give rise to a first-order differential expression whose Laplacian involves no third derivatives of the stationary solution. This classification gives rise to a new technique of finding subharmonicity results for the variational equations, and we also illustrate this technique in two examples. Firstly, we prove a subharmonicity result for the Jacobian determinant in the case of weighted Dirichlet energy. Secondly, we find optimal subharmonicity results in the case of a Neohookean-type stored energy function.
Who reads Subharmonicity Results for the Stationary Solutions of Isotropic Energy Functionals?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Aleksis Koski
- Publisher
- Walter de Gruyter GmbH
- Published
- 2017
- Language
- EN
- Field
- Mathematics (Physical Sciences)