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• W3043668011 abstract "In this paper, by Morse theory we will study the Kirchhoff type equation with an additional critical nonlinear term, and the main results are to compute the critical groups including the cases where zero is a mountain pass solution and the nonlinearity is resonant at zero. As an application, the multiplicity of nontrivial solutions for this equation with the parameter across the first eigenvalue is investigated under appropriate assumptions. To our best knowledge, estimates of our critical groups are new even for the Kirchhoff type equations with subcritical nonlinearities." @default.
• W3043668011 created "2020-07-23" @default.
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• W3043668011 date "2020-07-14" @default.
• W3043668011 modified "2023-10-17" @default.
• W3043668011 title "Critical groups and multiple solutions for Kirchhoff type equations with critical exponents" @default.
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• W3043668011 doi "https://doi.org/10.1142/s0219199720500315" @default.
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