Multiplicity results for elliptic problems with critical exponential growth
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929226046767104 |
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| author | Perera, Kanishka |
| author_facet | Perera, Kanishka |
| contents | We prove new multiplicity results for some elliptic problems with critical exponential growth. More specifically, we show that the problems considered here have arbitrarily many solutions for all sufficiently large values of a certain parameter $μ> 0$. In particular, the number of solutions goes to infinity as $μ\to \infty$. The proof is based on an abstract critical point theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicity results for elliptic problems with critical exponential growth Perera, Kanishka Analysis of PDEs Primary 35J20, Secondary 35B33, 58E05 We prove new multiplicity results for some elliptic problems with critical exponential growth. More specifically, we show that the problems considered here have arbitrarily many solutions for all sufficiently large values of a certain parameter $μ> 0$. In particular, the number of solutions goes to infinity as $μ\to \infty$. The proof is based on an abstract critical point theorem. |
| title | Multiplicity results for elliptic problems with critical exponential growth |
| topic | Analysis of PDEs Primary 35J20, Secondary 35B33, 58E05 |
| url | https://arxiv.org/abs/2401.15209 |