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Semilinear Elliptic Equations: Classical and Modern Theories

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This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike. - An authoritative treatise on semilinear elliptic equations - Covers all classical and modern developments in the field, including recent ones - Of interest to researchers and graduate students working in PDE's and applications

Author(s): Takashi Suzuki
Series: De Gruyter Series in Nonlinear Analysis and Applications, 35
Publisher: De Gruyter
Year: 2020

Language: English
Pages: 472
City: Berlin
Tags: Partial Differential Equations, Elliptic, Semilinear

Part I: Fundamentals

1 Calculus of variations 3
2 Maximum principles 59
3 Complex structure 109
4 Rearrangement 171
Part II: Applications

5 Supplementary topics 255
6 Equations on annulus 357
7 Hardy spaces and BMO 395

Bibliography 453
Index 469