What is it about?
We develop an abstract linking result to deal with indefinite problems. This result provides a weak solution for elliptic equations when we are able to establish a linking geometry for the problem. Spectral theory is te key to get such a structure.
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Why is it important?
We prove a result which can provide a solution for several indefinite problems and develop a new approach for solving Nonlinear Schrodinger Equations with sign changing potentials.
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This page is a summary of: An Abstract Linking Theorem Applied to Indefinite Problems Via Spectral Properties, Advanced Nonlinear Studies, August 2019, De Gruyter, DOI: 10.1515/ans-2019-2041.
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