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A First Course in Fractional Sobolev Spaces
Language: en
Pages: 605
Authors: Giovanni Leoni
Categories: Mathematics
Type: BOOK - Published: 2023-03-17 - Publisher: American Mathematical Society

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This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, a
A First Course in Sobolev Spaces
Language: en
Pages: 626
Authors: Giovanni Leoni
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking
Concentration Compactness
Language: en
Pages: 279
Authors: Kyril Tintarev
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: Imperial College Press

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Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volum
Modern Methods in the Calculus of Variations
Language: en
Pages: 602
Authors: Irene Fonseca
Categories: Science
Type: BOOK - Published: 2007-08-22 - Publisher: Springer Science & Business Media

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This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and pr
Integro-Differential Elliptic Equations
Language: en
Pages: 409
Authors: Xavier Fernández-Real
Categories: Differential equations, Elliptic
Type: BOOK - Published: 2024 - Publisher: Springer Nature

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Zusammenfassung: This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in t