Strong barriers for weighted quasilinear equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912068409491456 |
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| author | Hara, Takanobu |
| author_facet | Hara, Takanobu |
| contents | In potential theory, use of barriers is one of the most important techniques. We construct strong barriers for weighted quasilinear elliptic operators. There are two applications: (i) solvability of Poisson-type equations with boundary singular data, and (ii) a geometric version of Hardy inequality. Our construction method can be applied to a general class of divergence form elliptic operators on domains with rough boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_12183 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Strong barriers for weighted quasilinear equations Hara, Takanobu Analysis of PDEs Functional Analysis 35J92, 35J25, 31C15, 31C45 In potential theory, use of barriers is one of the most important techniques. We construct strong barriers for weighted quasilinear elliptic operators. There are two applications: (i) solvability of Poisson-type equations with boundary singular data, and (ii) a geometric version of Hardy inequality. Our construction method can be applied to a general class of divergence form elliptic operators on domains with rough boundary. |
| title | Strong barriers for weighted quasilinear equations |
| topic | Analysis of PDEs Functional Analysis 35J92, 35J25, 31C15, 31C45 |
| url | https://arxiv.org/abs/2211.12183 |