29 citations · 29 across the 2 of their papers we have counts for
2 papers
math.AP2014
On differential systems with strongly indefinite variational structure
Cyril J. Batkam, Fabrice Colin, Tomasz Kaczynski
We obtain multiplicity results for a class of first-order superquadratic Hamiltonian systems and a class of indefinite superquadratic elliptic systems which lead to the study of st…
math.AP2013★ 29 cited
Generalized fountain theorem and application to strongly indefinite semilinear problems
Cyril J. Batkam, Fabrice Colin
By using the degree theory and the topology of Kryszewski and Szulkin, we establish a version of the Fountain Theorem for strongly indefinite functionals. The abstract result w…