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The Steklov eigenvalue problem in a cuspidal domain

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1 Published in 2020 at "Numerische Mathematik"

DOI: 10.1007/s00211-019-01092-0

Abstract: In this paper we analyze the approximation, by piecewise linear finite elements, of a Steklov eigenvalue problem in a plane domain with an external cusp. This problem is not covered by the literature and its… read more here.

Keywords: problem cuspidal; eigenvalue problem; cuspidal domain; steklov eigenvalue ... See more keywords

Resonant Steklov eigenvalue problem involving the (p, q)-Laplacian

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1 Published in 2019 at "Afrika Matematika"

DOI: 10.1007/s13370-018-0634-9

Abstract: In the present paper, we study the existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator (p, q)-Laplacian with indefinite weights at resonance cases. read more here.

Keywords: resonant steklov; eigenvalue problem; steklov eigenvalue;

A DRBEM approximation of the Steklov eigenvalue problem

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1 Published in 2021 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2020.11.003

Abstract: Abstract In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing differential… read more here.

Keywords: drbem; eigenvalue problem; steklov eigenvalue; eigenvalue ... See more keywords