Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (1)
- Authors
- Goncharov, Vasily Yu.
- Contact information
- Goncharov, Vasily Yu.:MATI — Russian State Technological University Orshanskay, 3, Moscow, 121552 Russia;
- Keywords
- eigenvalue optimization problem; elliptic boundary-value problem; variational inequality; existence theorem; optimal structural design
- Abstract
Some existence criteria for a certrain class of extremum problems involving eigenvalues of linear elliptic boundary-value problems (including ones in the form of variational inequalities) are proved. The approach applied admits an extension to the case of extremum problems associated with eigenvalues of nonlinear boundary-value problems. Some applications to optimal structural design and comparisons with results in the literature are given
- Pages
- 37–47
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/20076
Journal of Siberian Federal University. Mathematics & Physics / Existence Criteria in Some Extremum Problems Involving Eigenvalues of Elliptic Operators
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