Existence results for problems involving non local operator with an asymmetric weight and with a critical nonlinearity
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915356641067008 |
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| author | Benhafsia, Sana Hadiji, Rejeb |
| author_facet | Benhafsia, Sana Hadiji, Rejeb |
| contents | Recently, great attention has been focused on the study of fractional and non-local operators of elliptic type, both for pure mathematical research and in view of concrete real-world applications. Our problem is related to the fractional Yamabe problem. First, we study a non-local problem involving the fractional laplacian, a critical nonlinearity with a non-symmetric weight,and a pertubation __in a bounded domain. We show that in the case of a linear perturbation. Next, if the perturbation is nonlinear, we find non-ground-state solutions for the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07531 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence results for problems involving non local operator with an asymmetric weight and with a critical nonlinearity Benhafsia, Sana Hadiji, Rejeb Analysis of PDEs Recently, great attention has been focused on the study of fractional and non-local operators of elliptic type, both for pure mathematical research and in view of concrete real-world applications. Our problem is related to the fractional Yamabe problem. First, we study a non-local problem involving the fractional laplacian, a critical nonlinearity with a non-symmetric weight,and a pertubation __in a bounded domain. We show that in the case of a linear perturbation. Next, if the perturbation is nonlinear, we find non-ground-state solutions for the problem. |
| title | Existence results for problems involving non local operator with an asymmetric weight and with a critical nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.07531 |