Elliptic systems in Orlicz-Sobolev spaces with critical sources in bounded domains
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909542255689728 |
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| author | Ochoa, Pablo |
| author_facet | Ochoa, Pablo |
| contents | In this paper, we show the existence of non-trivial solutions to very general elliptic systems with critical non-linearities in the sense of embeddings in Orlicz-Sobolev spaces. This allows to consider non-linearities which do not have polynomial growth. To achieve the existence, we combine a Mountain Pass Theorem without the Palais-Smale condition with the second Concentration Compactness Principle of Lions in Orlicz-Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14667 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elliptic systems in Orlicz-Sobolev spaces with critical sources in bounded domains Ochoa, Pablo Analysis of PDEs In this paper, we show the existence of non-trivial solutions to very general elliptic systems with critical non-linearities in the sense of embeddings in Orlicz-Sobolev spaces. This allows to consider non-linearities which do not have polynomial growth. To achieve the existence, we combine a Mountain Pass Theorem without the Palais-Smale condition with the second Concentration Compactness Principle of Lions in Orlicz-Sobolev spaces. |
| title | Elliptic systems in Orlicz-Sobolev spaces with critical sources in bounded domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.14667 |