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Fractional eigenvalue problems that approximate Steklov eigenvalue problems

Published online by Cambridge University Press:  28 December 2017

Leandro M. Del Pezzo
Affiliation:
Departamento de Matemática and Instituto de Investigaciones Matemáticas ‘Luis A. Santaló’, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Av. Cantilo s/n. Buenos Aires, Argentina ([email protected]; [email protected]; [email protected])
Julio D. Rossi
Affiliation:
Departamento de Matemática and Instituto de Investigaciones Matemáticas ‘Luis A. Santaló’, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Av. Cantilo s/n. Buenos Aires, Argentina ([email protected]; [email protected]; [email protected])
Ariel M. Salort
Affiliation:
Departamento de Matemática and Instituto de Investigaciones Matemáticas ‘Luis A. Santaló’, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Av. Cantilo s/n. Buenos Aires, Argentina ([email protected]; [email protected]; [email protected])

Abstract

In this paper we analyse possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a non-local eigenvalue problem of fractional type that approximates, when taking a suitable limit, the classical Steklov eigenvalue problem.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2018 

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