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An Introduction to Nonlinear Functional Analysis and Elliptic Problems
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An Introduction to Nonlinear Functional Analysis and Elliptic Problems
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An Introduction to Nonlinear Functional Analysis and Elliptic ProblemsNotation. Preliminaries. Some Fixed Point Theorems. Local and Global Inversion Theorems. Leray Schauder Topological Degree. An Outline of Critical Points. Bifurcation Theory. Elliptic Problems and Functional Analysis. Problems with A Priori Bounds. Asymptotically Linear Problems. Asymmetric Nonlinearities. Superlinear Problems. Quasilinear Problems. Stationary States of Evolution Equations. Appendix A Sobolev Spaces. Exercises. Index. Bibliography.
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An Introduction to Nonlinear Functional Analysis and Elliptic Problems
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