Monotone approximation of differentiable convex functions with applications to general minimization problems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917975210065920 |
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| author | Harjulehto, Petteri Hästö, Peter Torricelli, Andrea |
| author_facet | Harjulehto, Petteri Hästö, Peter Torricelli, Andrea |
| contents | We study minimizers of non-autonomous energies with minimal growth and coercivity assumptions on the energy. We show that the minimizer is nevertheless the solution of the relevant Euler--Lagrange equation or inequality. The main tool is an extension result for convex $C^1$-energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11920 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Monotone approximation of differentiable convex functions with applications to general minimization problems Harjulehto, Petteri Hästö, Peter Torricelli, Andrea Analysis of PDEs Functional Analysis 35J87 (49J40, 47J20) We study minimizers of non-autonomous energies with minimal growth and coercivity assumptions on the energy. We show that the minimizer is nevertheless the solution of the relevant Euler--Lagrange equation or inequality. The main tool is an extension result for convex $C^1$-energies. |
| title | Monotone approximation of differentiable convex functions with applications to general minimization problems |
| topic | Analysis of PDEs Functional Analysis 35J87 (49J40, 47J20) |
| url | https://arxiv.org/abs/2310.11920 |