Abstract
In this present paper, we investigate some essential results, in particular, involving the Nehari manifold and functional coercivity. In this sense, we attack our main result, that is, the existence of at least two positive bounded solutions for weighted singular fractional p-Laplace operator via Nehari manifold in the space \(\psi \)-fractional \({\mathbb {H}}^{\alpha ,\beta ;\psi }_{p}([0,T],{\mathbb {R}})\).
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Acknowledgements
All authors’ contributions to this manuscript are the same. All authors read and approved the final manuscript. We are very grateful to the anonymous reviewers for their useful comments that led to improvement of the manuscript.César T. Ledesma was partially supported by CONCYTEC, Peru, 379-2019-FONDECYT “ASPECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES.”
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Sousa, J.V.d.C., Ledesma, C.T., Pigossi, M. et al. Nehari Manifold for Weighted Singular Fractional p-Laplace Equations. Bull Braz Math Soc, New Series 53, 1245–1275 (2022). https://doi.org/10.1007/s00574-022-00302-y
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DOI: https://doi.org/10.1007/s00574-022-00302-y
Keywords
- \(\psi \)-fractional derivative space
- Variational structure
- Fractional p-Laplace operator
- Existence of solutions
- Nehari manifold