Quasilinear Elliptic Equations with Degenerations and Singularities

ISBN-13: 9783110154900 / Angielski / Twarda / 1997 / 231 str.

Pavel Drábek;Alois Kufner;Francesco Nicolosi

Opis

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jurgen Appell. Titles in planning include Said Abbas, Mouffak Benchohra, John R. Graef, and Johnny Henderson, Implicit Fractional Differential and Integral Equations: Existence and Stability (2018)
Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019)
Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019)
Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Recenzje

"The book is very well written and will be a valuable source for specialists in differential equations, functional analysis, operator theory, and mathematical physics, as well as for non-specialists who want to get an idea of this fascinating field of contemporary nonlinear analysis. The authors have achieved a double goal. On the one hand, they provide a self-contained account which describes the state-of-the-art of nonlinear elliptic equations with degenerations and singularities; on the other, their book will certainly stimulate further research in this field. The reviewer regards the second aspect as at least as important as the first one: in fact, in his opinion a book should open a new field, rather than close it." Zentralblatt für Mathematik