The Yamabe equation in a non-local setting
Aim of this paper is to study the following elliptic equation driven by a general non-local integrodifferential operator such that in , in , where , is an open bounded set of ℝn, , with Lipschitz boundary, λ is a positive real parameter, is a fractional critical Sobolev exponent, while is the...
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| Format: | Article |
| Language: | English |
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De Gruyter
2013-08-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2013-0008 |
| _version_ | 1819290877868113920 |
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| author | Servadei Raffaella |
| author_facet | Servadei Raffaella |
| author_sort | Servadei Raffaella |
| collection | DOAJ |
| description | Aim of this paper is to study the following elliptic equation driven by a general non-local integrodifferential operator such that in , in , where , is an open bounded set of ℝn, , with Lipschitz boundary, λ is a positive real parameter, is a fractional critical Sobolev exponent, while is the non-local integrodifferential operator |
| first_indexed | 2024-12-24T03:29:44Z |
| format | Article |
| id | doaj.art-c3a314ac57ab4384bf7598a165619c98 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-24T03:29:44Z |
| publishDate | 2013-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-c3a314ac57ab4384bf7598a165619c982022-12-21T17:17:14ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2013-08-012323527010.1515/anona-2013-0008The Yamabe equation in a non-local settingServadei Raffaella0Dipartimento di Matematica e Informatica, Università della Calabria, Ponte Pietro Bucci 31 B, 87036 Arcavacata di Rende (Cosenza), ItalyAim of this paper is to study the following elliptic equation driven by a general non-local integrodifferential operator such that in , in , where , is an open bounded set of ℝn, , with Lipschitz boundary, λ is a positive real parameter, is a fractional critical Sobolev exponent, while is the non-local integrodifferential operatorhttps://doi.org/10.1515/anona-2013-0008mountain pass theoremlinking theoremcritical nonlinearitiesbest fractional critical sobolev constantpalais–smale conditionvariational techniquesintegrodifferential operatorsfractional laplacian |
| spellingShingle | Servadei Raffaella The Yamabe equation in a non-local setting Advances in Nonlinear Analysis mountain pass theorem linking theorem critical nonlinearities best fractional critical sobolev constant palais–smale condition variational techniques integrodifferential operators fractional laplacian |
| title | The Yamabe equation in a non-local setting |
| title_full | The Yamabe equation in a non-local setting |
| title_fullStr | The Yamabe equation in a non-local setting |
| title_full_unstemmed | The Yamabe equation in a non-local setting |
| title_short | The Yamabe equation in a non-local setting |
| title_sort | yamabe equation in a non local setting |
| topic | mountain pass theorem linking theorem critical nonlinearities best fractional critical sobolev constant palais–smale condition variational techniques integrodifferential operators fractional laplacian |
| url | https://doi.org/10.1515/anona-2013-0008 |
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