Weighted Hardy-Sobolev type inequalities with boundary terms
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911434649108480 |
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| author | Ò, João Marcos do Furtado, Marcelo Medeiros, Everaldo Ratzkin, Jesse |
| author_facet | Ò, João Marcos do Furtado, Marcelo Medeiros, Everaldo Ratzkin, Jesse |
| contents | In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corresponding weighted Sobolev and trace-type inequalities. These results play an important role in the analysis of elliptic problems with Neumann or Robin boundary conditions in unbounded domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08702 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weighted Hardy-Sobolev type inequalities with boundary terms Ò, João Marcos do Furtado, Marcelo Medeiros, Everaldo Ratzkin, Jesse Analysis of PDEs 35J55, 35J50 In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corresponding weighted Sobolev and trace-type inequalities. These results play an important role in the analysis of elliptic problems with Neumann or Robin boundary conditions in unbounded domains. |
| title | Weighted Hardy-Sobolev type inequalities with boundary terms |
| topic | Analysis of PDEs 35J55, 35J50 |
| url | https://arxiv.org/abs/2602.08702 |