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Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

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Paperback, blz. | Engels
Scuola Normale Superiore | e druk, 2017
ISBN13: 9788876426001
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Scuola Normale Superiore e druk, 2017 9788876426001
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Samenvatting

These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.

The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.

Specificaties

ISBN13:9788876426001
Taal:Engels
Bindwijze:paperback
Uitgever:Scuola Normale Superiore

Inhoudsopgave

Introduction.- The problem studied in this monograph.- Functional analytical setting.- Existence of a minimal solution and proof of Theorem 2.2.2.- Regularity and positivity of the solution.- Existence of a second solution and proof of Theorem 2.2.4.

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        Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$