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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
Fundamentals
Calculus of variations
Maximum principles
Complex structure
Rearrangement
Applications
Supplementary topics
Equations on annulus
Hardy spaces and BMO
Bibliography
Index