On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917390571274240 |
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| author | Gu, Guangze Jevnikar, Aleks |
| author_facet | Gu, Guangze Jevnikar, Aleks |
| contents | In this paper we use variational methods to establish the existence of solutions for a class of nonlinear elliptic problems involving a combined convolution-type and Hardy nonlinearity with subcritical and critical growth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent Gu, Guangze Jevnikar, Aleks Analysis of PDEs 35A15, 35J20, 35R11, 47G20 In this paper we use variational methods to establish the existence of solutions for a class of nonlinear elliptic problems involving a combined convolution-type and Hardy nonlinearity with subcritical and critical growth. |
| title | On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent |
| topic | Analysis of PDEs 35A15, 35J20, 35R11, 47G20 |
| url | https://arxiv.org/abs/2509.15806 |