Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains

The goal of this book is to investigate the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges. We consider this problem both for linear and quasi-linear (till now very little studied) equations. Chapter 1...

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Detalles Bibliográficos
Autor principal: Borsuk, Mikhail
Lenguaje:eng
Publicado: Springer 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0346-0477-2
http://cds.cern.ch/record/1412710
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author Borsuk, Mikhail
author_facet Borsuk, Mikhail
author_sort Borsuk, Mikhail
collection CERN
description The goal of this book is to investigate the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges. We consider this problem both for linear and quasi-linear (till now very little studied) equations. Chapter 1 is of auxiliary character. Chapter 2 deals with the eigenvalue problem for the m-Laplace-Beltrami operator. By the variational principle we prove a new integro-differential Friedrichs-Wirtinger type inequality. This inequality is a basis for the obtaining of precise exponents of the decreasing rate
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institution Organización Europea para la Investigación Nuclear
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publishDate 2010
publisher Springer
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spelling cern-14127102021-04-22T00:44:27Zdoi:10.1007/978-3-0346-0477-2http://cds.cern.ch/record/1412710engBorsuk, MikhailTransmission Problems for Elliptic Second-Order Equations in Non-Smooth DomainsMathematical Physics and MathematicsThe goal of this book is to investigate the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges. We consider this problem both for linear and quasi-linear (till now very little studied) equations. Chapter 1 is of auxiliary character. Chapter 2 deals with the eigenvalue problem for the m-Laplace-Beltrami operator. By the variational principle we prove a new integro-differential Friedrichs-Wirtinger type inequality. This inequality is a basis for the obtaining of precise exponents of the decreasing rate Springeroai:cds.cern.ch:14127102010
spellingShingle Mathematical Physics and Mathematics
Borsuk, Mikhail
Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
title Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
title_full Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
title_fullStr Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
title_full_unstemmed Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
title_short Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
title_sort transmission problems for elliptic second-order equations in non-smooth domains
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0346-0477-2
http://cds.cern.ch/record/1412710
work_keys_str_mv AT borsukmikhail transmissionproblemsforellipticsecondorderequationsinnonsmoothdomains

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