Degree theory on convex sets and applications to bifurcation. (English) Zbl 0956.35033
Buttazzo, G. (ed.) et al., Calculus of variations and partial differential equations. Topics on geometrical evolution problems and degree theory. Based on a summer school, Pisa, Italy, September 1996. Berlin: Springer. 185-225, 338-343 (2000).
This is an introduction to degree theory beginning with the Brouwer degree and ending with applications to the existence of positive solutions of systems of semilinear partial differential equations. The paper contains proofs or detailed sketches of proofs for the most results mentioned.
For the entire collection see [Zbl 0932.00045].
For the entire collection see [Zbl 0932.00045].
Reviewer: Thomas J.Bartsch (Gießen)
MSC:
| 35J55 | Systems of elliptic equations, boundary value problems (MSC2000) |
| 47H11 | Degree theory for nonlinear operators |
| 35A05 | General existence and uniqueness theorems (PDE) (MSC2000) |
