4.5 Article

Existence results for double-phase problems via Morse theory

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Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219199717500237

Keywords

Double-phase problems; Musielak spaces; Morse theory; cohomological local splitting

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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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