Department of Mathematics

INDIAN INSTITUTE OF SCIENCE

MA 345: Nonlinear Functional Analysis and Applications to Differential Equations

Credits: 3:0

Introduction to Calculus of Variations and Morse Theory. Critical Point Theory for Gradient Mappings: Mountain Pass theorem, linking Theorems, Saddle Point theorem, Dual formulation etc.

Suggested books and references:

1. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, C. B. M. S. No. 65, 1986.
2. Ghoussoub, N., Duality and perturbation methods in critical point theory, Cambridge Univ. Press, 1993.
3. Struwe, M., Variational methods and their applications to nonlinear partial differential equations and Hamiltonian Systems, Springer-Verlag, 1990.

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