Semilinear Elliptic Equations: Classical and Modern Theories
Book information
Description
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 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
Similar books
Solution Manual for Partial Differential Equations for Scientists and Engineers
2020 · PDF
Partial Differential Equations of Mathematical Physics and Integral Equations
1996 · PDF
Analysis and Partial Differential Equations
2024 · PDF
Lectures on Cauchy's Problem in Linear Partial Differential Equations
2014 · EPUB
Introduction to Partial Differential Equations with Applications
1976 · EPUB
Mémoire contenant l'application de la théorie exposée dans le XVIIᵉ Cahier du Journal de l'École polytechnique, à l'intégration des équations aux différentielles partielles du premier et du second ordre
1819 · PDF
Nonlinear Reaction-Diffusion-Convection: Lie and Conditional Symmetry: Exact Solutions and Their Applications
2017 · PDF
A Short Introduction to Partial Differential Equations
2023 · PDF