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

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.

To appear in Calculus of Variations and PDE's, arXiv admin note: substantial text overlap with arXiv:1702.06667

References in corpus (2)

• Parameterized splitting theorems and bifurcations for potential operators
• Morse theory methods for quasi-linear elliptic systems of higher order