Nonlinear Analysis and Semilinear Elliptic Problems

Description

Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems. This graduate text explains some of the key techniques in a way that will be appreciated by mathematicians, physicists and engineers. Starting from elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial differential equations. A series of Appendices give convenient accounts of a variety of advanced topics that will introduce the reader to areas of current research. The book is amply illustrated and many chapters are rounded off with a set of exercises..




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1. Ebooks list page : 1665
2. Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications)
3. Entire solutions of semilinear elliptic equations
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6. Numerical Solution of Elliptic Problems
7. The Finite Element Method for Elliptic Problems
8. Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear Monotone Operators
9. Extremum Problems for Eigenvalues of Elliptic Operators (repost)
10. Partial Differential Equations IX: Elliptic Boundary Value Problems
11. Partial Differential Equations IX: Elliptic Boundary Value Problems
12. Extremum Problems for Eigenvalues of Elliptic Operators (Frontiers in Mathematics)
13. Generalized Symplectic Geometries and the Index of Families of Elliptic Problems
14. Elliptic Boundary Value Problems in the Spaces of Distributions (Mathematics and Its Applications)
15. Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains
16. Extremum Problems for Eigenvalues of Elliptic Operators (Frontiers in Mathematics)