Publicación: Nonlinear elliptic systems involving Hardy-Sobolev Criticalities
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2023-08-23
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info:eu-repo/semantics/openAccess
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Springer
Resumen
This paper is focused on the solvability of a family of nonlinear elliptic systems defined in RN . Such equations contain Hardy potentials and Hardy–Sobolev criticalities coupled by a possible critical Hardy–Sobolev term. That problem arises as a generalization of Gross–Pitaevskii and Bose–Einstein type systems. By means of variational techniques, we shall find ground and bound states in terms of the coupling parameter ν and the order of the different parameters and exponents. In particular, for a wide range of parameters we find solutions as minimizers or Mountain–Pass critical points of the energy functional on the underlying Nehari manifold.
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Esta es la versión aceptada para su publicación en Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas., 117, 157 (2023). La versión final publicada está disponible en la página del editor: Springer, https://doi.org/10.1007/s13398-023-01490-y.
This is the accepted version for publication in the Journal of the Royal Academy of Exact, Physical and Natural Sciences. Series A. Mathematics, 117, 157 (2023). The final published version is available from the publisher's website: Springer, https://doi.org/10.1007/s13398-023-01490-y.
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López-Soriano, R., Ortega, A. Nonlinear elliptic systems involving Hardy–Sobolev criticalities. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 157 (2023). https://doi.org/10.1007/s13398-023-01490-y
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Facultad de Ciencias
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Matemáticas Fundamentales