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arXiv · 1709.02337

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

Guangcun Lu
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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.

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Guangcun Lu. 2017-09-07. Morse theory methods for a class of quasi-linear elliptic systems of higher order. https://arxiv.org/abs/1709.02337

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