A posteriori estimates for problems with monotone operators
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912325650350080 |
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| author | Bobkov, Vladimir Pastukhova, Svetlana |
| author_facet | Bobkov, Vladimir Pastukhova, Svetlana |
| contents | We propose a method of obtaining a posteriori estimates which does not use the duality theory and which applies to variational inequalities with monotone operators, without assuming the potentiality of operators. The effectiveness of the method is demonstrated on problems driven by nonlinear operators of the $p$-Laplacian type, including the anisotropic $p$-Laplacian, polyharmonic $p$-Laplacian, and fractional $p$-Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A posteriori estimates for problems with monotone operators Bobkov, Vladimir Pastukhova, Svetlana Analysis of PDEs Numerical Analysis 35J92, 35B45, 35B30 We propose a method of obtaining a posteriori estimates which does not use the duality theory and which applies to variational inequalities with monotone operators, without assuming the potentiality of operators. The effectiveness of the method is demonstrated on problems driven by nonlinear operators of the $p$-Laplacian type, including the anisotropic $p$-Laplacian, polyharmonic $p$-Laplacian, and fractional $p$-Laplacian. |
| title | A posteriori estimates for problems with monotone operators |
| topic | Analysis of PDEs Numerical Analysis 35J92, 35B45, 35B30 |
| url | https://arxiv.org/abs/2504.09931 |