Morse theory methods for a class of quasi-linear elliptic systems of higher order

2017/09/07 by Lu, Guangcun
#49J45 #49J52 #58E05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1709.02337

Abstract

We develop the local Morse theory for a class of non-twice continuously differentiable functionals on Hilbert spaces, including a new generalization of the Gromoll-Meyer's splitting theorem and a weaker Marino-Prodi perturbation type result. They are applicable to a wide range of multiple integrals with quasi-linear elliptic Euler equations and systems of higher order.

Related

• Morse theory methods for quasi-linear elliptic systems of higher order
• The splitting lemmas for nonsmooth functionals on Hilbert spaces
• Parameterized splitting theorems and bifurcations for potential operators
• Morse homology for a class of elliptic partial differential equations
• Algebraic Morse theory and homological perturbation theory