Abstract
This survey article deals with some Morse theoretic aspects for functionals defined in Sobolev Banach spaces, associated with quasilinear elliptic equations or systems, involving the p-Laplace operator, p > 2.We discuss the notion of nondegeneracy in a Banach (not Hilbert) variational framework and we present some developments concerning the critical groups estimates and the interpretation of the multiplicity of a critical point.
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To Prof. Yvonne Choquet-Bruhat on the occasion of her 90th birthday
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Cingolani, S. On local Morse theory for p-area functionals, p > 2. J. Fixed Point Theory Appl. 14, 355–373 (2013). https://doi.org/10.1007/s11784-014-0163-6
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DOI: https://doi.org/10.1007/s11784-014-0163-6