Three nontrivial solutions for second-order partial difference equation via Morse theory (Q2120178)
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| English | Three nontrivial solutions for second-order partial difference equation via Morse theory |
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Three nontrivial solutions for second-order partial difference equation via Morse theory (English)
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31 March 2022
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Summary: In the present paper, we consider a second-order nonlinear partial difference equation with Dirichlet boundary conditions. Applying variational method together with the Morse theory, we establish a criterion to obtain at least three nontrivial solutions. An example is also elaborated to demonstrate our main result.
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nonlinear partial difference equation
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Dirichlet boundary conditions
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variational method
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Morse theory
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