Artigo Acesso aberto Revisado por pares

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

ISSN

2313-6022

Autores

Vasily Yu. Goncharov,

Tópico(s)

Spectral Theory in Mathematical Physics

Resumo

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.

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