Complete asymptotic expansions for eigenvalues of Dirichlet laplacian in thin three-dimensional rods

Denis Borisov; Giuseppe Cardone

Displaying similar documents to “Complete asymptotic expansions for eigenvalues of Dirichlet laplacian in thin three-dimensional rods”

Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods

Denis Borisov, Giuseppe Cardone (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbitrary way. We find a two-parametric set of the eigenvalues of such operator and construct their complete asymptotic expansions. We show that this two-parametric set contains any prescribed number of the first eigenvalues of the considered operator. We obtain the complete asymptotic expansions for the eigenfunctions...

An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem

Damian Wiśniewski, Mariusz Bodzioch (2016)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.

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Displaying similar documents to “Complete asymptotic expansions for eigenvalues of Dirichlet laplacian in thin three-dimensional rods”