Spectral theory approach for a class of radial indefinite variational problems |
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Authors: | Liliane A. Maia Mayra Soares |
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Affiliation: | Departamento de Matemática, UNB, 70910-900 Brasília, Brazil |
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Abstract: | Considering the radial nonlinear Schrödinger equation () we aim to find a radial nontrivial solution for it, where V changes sign ensuring problem () is indefinite and g is an asymptotically linear nonlinearity. We work with variational methods associating problem () to an indefinite functional in order to apply our Abstract Linking Theorem for Cerami sequences in [8] to get a non-trivial critical point for this functional. Our goal is to make use of spectral properties of operator restricted to , the space of radially symmetric functions in , for obtaining a linking geometry structure to the problem and by means of special properties of radially symmetric functions get the necessary compactness. |
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Keywords: | Corresponding author. |
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