Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R^2
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912269890224128 |
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| author | Biswas, Sanjit |
| author_facet | Biswas, Sanjit |
| contents | In this article, we prove the existence of at least two positive weak solutions for a mixed local-nonlocal singular problem in the presence of critical exponential nonlinearity in dimension two. The novelty of this work is the inclusion of a variable singular exponent in the context of mixed operator and critical exponential nonlinearity in R^2. Our approach is based on sub-solution super-solution technique, combined with variational methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R^2 Biswas, Sanjit Analysis of PDEs In this article, we prove the existence of at least two positive weak solutions for a mixed local-nonlocal singular problem in the presence of critical exponential nonlinearity in dimension two. The novelty of this work is the inclusion of a variable singular exponent in the context of mixed operator and critical exponential nonlinearity in R^2. Our approach is based on sub-solution super-solution technique, combined with variational methods. |
| title | Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R^2 |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.08261 |