Parameterized splitting theorems and bifurcations for potential operators, Part I: Abstract theory

@article{Lu2021ParameterizedST,
  title={Parameterized splitting theorems and bifurcations for potential operators, Part I: Abstract theory},
  author={Guangcun Lu},
  journal={Discrete \& Continuous Dynamical Systems},
  year={2021}
}
  • Guangcun Lu
  • Published 10 December 2017
  • Mathematics
  • Discrete & Continuous Dynamical Systems
This is the first part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using parameterized versions of splitting theorems in Morse theory we generalize some famous bifurcation theorems for potential operators by weakening standard assumptions on the differentiability of the involved functionals, which opens up a way of bifurcation studies for quasi-linear elliptic boundary value problems. 

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