Lipschitz Bounds and Nonautonomous Integrals
| العنوان: | Lipschitz Bounds and Nonautonomous Integrals |
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| المؤلفون: | Cristiana De Filippis, Giuseppe Mingione |
| المصدر: | Archive for Rational Mechanics and Analysis. 242:973-1057 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Large class, Polynomial, Mechanical Engineering, Elliptic case, 010102 general mathematics, Complex system, Lipschitz continuity, 01 natural sciences, Exponential type, 010101 applied mathematics, Range (mathematics), Mathematics - Analysis of PDEs, Mathematics (miscellaneous), FOS: Mathematics, Applied mathematics, 0101 mathematics, Analysis, Analysis of PDEs (math.AP), Mathematics |
| الوصف: | We provide a general approach to Lipschitz regularity of solutions for a large class of vector-valued, nonautonomous variational problems exhibiting nonuniform ellipticity. The functionals considered here range amongst those with unbalanced polynomial growth conditions to those with fast, exponential type growth. The results obtained are sharp with respect to all the data considered and yield new, optimal regularity criteria even in the classical uniformly elliptic case. We give a classification of different types of nonuniform ellipticity, accordingly identifying suitable conditions to get regularity theorems. Comment: 83 pages |
| تدمد: | 1432-0673 0003-9527 |
| DOI: | 10.1007/s00205-021-01698-5 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6233158dde7dfeb6200b24bc15915e74 https://doi.org/10.1007/s00205-021-01698-5 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....6233158dde7dfeb6200b24bc15915e74 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14320673 00039527 |
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| DOI: | 10.1007/s00205-021-01698-5 |