Stability of eigenvalues for variable exponent problems

Francesca Colasuonno; Marco Squassina

doi:10.1016/j.na.2015.03.023

Stability of eigenvalues for variable exponent problems

Francesca Colasuonno, Marco Squassina

National Research Council of Italy

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

7 Citazioni (Scopus)

Abstract

In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.

Lingua originale	English
pagine (da-a)	56-67
Numero di pagine	12
Rivista	NONLINEAR ANALYSIS
Volume	123
DOI	https://doi.org/10.1016/j.na.2015.03.023
Stato di pubblicazione	Pubblicato - 2015

Keywords

Stability of eigenvalues
Variable exponents

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10.1016/j.na.2015.03.023

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title = "Stability of eigenvalues for variable exponent problems",

abstract = "In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.",

keywords = "Stability of eigenvalues, Variable exponents, Stability of eigenvalues, Variable exponents",

author = "Francesca Colasuonno and Marco Squassina",

year = "2015",

doi = "10.1016/j.na.2015.03.023",

language = "English",

volume = "123",

pages = "56--67",

journal = "NONLINEAR ANALYSIS",

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TY - JOUR

T1 - Stability of eigenvalues for variable exponent problems

AU - Colasuonno, Francesca

AU - Squassina, Marco

PY - 2015

Y1 - 2015

N2 - In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.

AB - In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.

KW - Stability of eigenvalues

KW - Variable exponents

KW - Stability of eigenvalues

KW - Variable exponents

UR - http://hdl.handle.net/10807/87057

U2 - 10.1016/j.na.2015.03.023

DO - 10.1016/j.na.2015.03.023

M3 - Article

SN - 1873-5215

VL - 123

SP - 56

EP - 67

JO - NONLINEAR ANALYSIS

JF - NONLINEAR ANALYSIS

ER -

Stability of eigenvalues for variable exponent problems

Abstract

Keywords

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