On the Morse Index of Critical Points in the Viscosity Method
Analysis of PDEs
2018-06-26 v1 Functional Analysis
Abstract
We show that in viscous approximations of functionals defined on Finsler manifolds, it is possible to construct suitable sequences of critical points of these approximations satisfying the expected Morse index bounds as in Lazer-Solimini's theory, together with the entropy condition of Michael Struwe.
Keywords
Cite
@article{arxiv.1806.09578,
title = {On the Morse Index of Critical Points in the Viscosity Method},
author = {Alexis Michelat},
journal= {arXiv preprint arXiv:1806.09578},
year = {2018}
}
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38 pages