p-fractional Kirchhoff equations involving critical nonlinearities
The paper deals with Kirchhoff type equations on the whole space RN, driven by the p-fractional Laplace operator, involving critical Hardy–Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the...
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| Published in | Nonlinear analysis: real world applications Vol. 35; pp. 350 - 378 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier Ltd
01.06.2017
Elsevier BV |
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| Online Access | Get full text |
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| Abstract | The paper deals with Kirchhoff type equations on the whole space RN, driven by the p-fractional Laplace operator, involving critical Hardy–Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the presence of critical terms as well as the possibly degenerate nature of the Kirchhoff problem. |
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| AbstractList | The paper deals with Kirchhoff type equations on the whole space RN, driven by the p-fractional Laplace operator, involving critical Hardy–Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the presence of critical terms as well as the possibly degenerate nature of the Kirchhoff problem. |
| Author | Fiscella, Alessio Pucci, Patrizia |
| Author_xml | – sequence: 1 givenname: Alessio surname: Fiscella fullname: Fiscella, Alessio email: fiscella@ime.unicamp.br organization: Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda 651, Campinas, SP CEP 13083–859, Brazil – sequence: 2 givenname: Patrizia orcidid: 0000-0001-7242-8485 surname: Pucci fullname: Pucci, Patrizia email: patrizia.pucci@unipg.it organization: Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy |
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| SubjectTerms | Critical exponents Hardy coefficients Mathematical analysis Mathematical problems Nonlinear equations Nonlocal [formula omitted]-Laplacian operators Stationary Kirchhoff problems |
| Title | p-fractional Kirchhoff equations involving critical nonlinearities |
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