Existence Criteria in Some Extremum Problems Involving Eigenvalues of Elliptic Operators
2016; Volume: 9; Issue: 1 Linguagem: Inglês
10.17516/1997-1397-2016-9-1-37-47
ISSN2313-6022
Autores Tópico(s)Spectral Theory in Mathematical Physics
ResumoSome 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.
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