We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.
Perera, K., Squassina, M., Existence results for double-phase problems via Morse theory, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, N/A; (N/A): N/A-N/A. [doi:10.1142/S0219199717500237] [http://hdl.handle.net/10807/87071]
Existence results for double-phase problems via Morse theory
Squassina, MarcoUltimo
2016
Abstract
We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.
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