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2011 Eigenvalues of the Laplace Operator with Nonlinear Boundary Conditions
Mihai Mihăilescu, Gheorghe Moroşanu
Taiwanese J. Math. 15(3): 1115-1128 (2011). DOI: 10.11650/twjm/1500406289

Abstract

An eigenvalue problem on a bounded domain for the Laplacian with a nonlinear Robin-like boundary condition is investigated. We prove the existence, isolation and simplicity of the first two eigenvalues.

Citation

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Mihai Mihăilescu. Gheorghe Moroşanu. "Eigenvalues of the Laplace Operator with Nonlinear Boundary Conditions." Taiwanese J. Math. 15 (3) 1115 - 1128, 2011. https://doi.org/10.11650/twjm/1500406289

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1234.35168
MathSciNet: MR2829901
Digital Object Identifier: 10.11650/twjm/1500406289

Subjects:
Primary: 35D05 , 35J60 , 35J70 , 35P30 , 58E05

Keywords: eigenvalue problem , isolated eigenvalue , nonlinear boundarycondition , Rayleigh principle

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
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