TY - BOOK AU - Dipierro,Serena AU - Medina,María AU - Valdinoci,Enrico ED - SpringerLink (Online service) TI - Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$ T2 - Lecture Notes (Scuola Normale Superiore) SN - 9788876426018 AV - QA370-380 U1 - 515.353 23 PY - 2017/// CY - Pisa PB - Scuola Normale Superiore, Imprint: Edizioni della Normale KW - Partial differential equations KW - Calculus of variations KW - Partial Differential Equations KW - Calculus of Variations and Optimal Control; Optimization N1 - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-88-7642-601-8 ER -