Can I read Morse Theory for a Fourth Order Elliptic Equation with Exponential Nonlinearity on EtoBox?

Morse Theory for a Fourth Order Elliptic Equation with Exponential Nonlinearity by Abatangelo, Laura; Portaluri, Alessandro is a scholarly article available to read on EtoBox.

What is Morse Theory for a Fourth Order Elliptic Equation with Exponential Nonlinearity about?

In this paper we compute the Leray Schauder degree for a fourth order elliptic boundary value problem with exponential nonlinearity and Navier boundary condition. This will be made by proving a Poincare'-Hopf type theorem. Moreover by using this result, together with some quantitative results about the formal set of barycenters, we are able to establish a direct and geometrically clear degree counting formula for our problem. We remark that this formula has been proven with complete different methods by Lin Wei and Wang by using blow-up type estimates.

Author

Abatangelo, Laura; Portaluri, Alessandro

Published

2009

Language

EN