Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913688436342784 |
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| author | Bonder, Julián Fernández Ochoa, Pablo Silva, Analía |
| author_facet | Bonder, Julián Fernández Ochoa, Pablo Silva, Analía |
| contents | In this paper we obtain Calderón-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem $$ Δ(g(Δu)Δu) = Δ(g(Δf)Δf). $$ where the primitive of $g(t)t$, $G(t)$, is an $N-$function. We prove that if $G(f)\in L^q$, then $G(Δu)\in L^q$ for $q\ge 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08627 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces Bonder, Julián Fernández Ochoa, Pablo Silva, Analía Analysis of PDEs 46E30, 35P30, 35D30 In this paper we obtain Calderón-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem $$ Δ(g(Δu)Δu) = Δ(g(Δf)Δf). $$ where the primitive of $g(t)t$, $G(t)$, is an $N-$function. We prove that if $G(f)\in L^q$, then $G(Δu)\in L^q$ for $q\ge 1$. |
| title | Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces |
| topic | Analysis of PDEs 46E30, 35P30, 35D30 |
| url | https://arxiv.org/abs/2502.08627 |