Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917809204756480 |
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| author | Cirant, Marco Goffi, Alessandro Leonori, Tommaso |
| author_facet | Cirant, Marco Goffi, Alessandro Leonori, Tommaso |
| contents | This paper studies global a priori gradient estimates for divergence-type equations patterned over the $p$-Laplacian with first-order terms having polynomial growth with respect to the gradient, under suitable integrability assumptions on the source term of the equation. The results apply to elliptic problems with unbounded data in Lebesgue spaces complemented with Neumann boundary conditions posed on convex domains of the Euclidean space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03760 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms Cirant, Marco Goffi, Alessandro Leonori, Tommaso Analysis of PDEs This paper studies global a priori gradient estimates for divergence-type equations patterned over the $p$-Laplacian with first-order terms having polynomial growth with respect to the gradient, under suitable integrability assumptions on the source term of the equation. The results apply to elliptic problems with unbounded data in Lebesgue spaces complemented with Neumann boundary conditions posed on convex domains of the Euclidean space. |
| title | Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2211.03760 |