Displaying similar documents to “Boundary eigencurve problems involving the biharmonic operator”

On the spectrum of Robin Laplacian in a planar waveguide

Alex Ferreira Rossini (2019)

Czechoslovak Mathematical Journal

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We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions. We study the essential spectrum of the corresponding Laplacian when the boundary coupling function has a limit at infinity. Furthermore, we derive sufficient conditions for the existence of discrete spectrum.

Two notions which affected nonlinear analysis (Bernard Bolzano lecture)

Pavel Drábek (2014)

Mathematica Bohemica

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General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the p -Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a...