Morse theory methods for a class of quasi-linear elliptic systems of higher order
2019
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.
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