Interior gradient bounds for nonlinear elliptic systems
This manuscript is dedicated to Umberto Mosco, with esteem and affection. Umberto was my mentor at the University of Rome, where I completed my four years studies in Mathematics before my PhD program in Pisa. I dedicate to him the article, which is divided in two parts. In the first section I prop...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2020-06-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/301-323.pdf |
| _version_ | 1818724494100922368 |
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| author | Paolo Marcellini |
| author_facet | Paolo Marcellini |
| author_sort | Paolo Marcellini |
| collection | DOAJ |
| description | This manuscript is dedicated to Umberto Mosco, with esteem and affection. Umberto was my mentor at the University of Rome, where I completed my four years studies in
Mathematics before my PhD program in Pisa. I dedicate to him the article, which is divided
in two parts. In the first section I propose some regularity theorems, precisely some interior
bounds for the gradient of weak solutions to a class of nonlinear elliptic systems; the title of this
manuscript takes its origin from this section. The second part of the manuscript deals with my
first studies in Rome together with Umberto Mosco and with my next studies in Pisa where I met
Ennio De Giorgi and where I had the good fortune of assisting to the birth of the G−convergence
and the Γ−convergence theories, with some connections with the Mosco’s convergence. |
| first_indexed | 2024-12-17T21:27:18Z |
| format | Article |
| id | doaj.art-926d33452da34bc0817ee4f9b6a38ef0 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-17T21:27:18Z |
| publishDate | 2020-06-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-926d33452da34bc0817ee4f9b6a38ef02022-12-21T21:31:59ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502020-06-01413-4301323Interior gradient bounds for nonlinear elliptic systemsPaolo Marcellini0Dipartimento di Matematica e Informatica “U. Dini” University of Firenze Viale Morgagni 67/A, 50134 Firenze, Italy.This manuscript is dedicated to Umberto Mosco, with esteem and affection. Umberto was my mentor at the University of Rome, where I completed my four years studies in Mathematics before my PhD program in Pisa. I dedicate to him the article, which is divided in two parts. In the first section I propose some regularity theorems, precisely some interior bounds for the gradient of weak solutions to a class of nonlinear elliptic systems; the title of this manuscript takes its origin from this section. The second part of the manuscript deals with my first studies in Rome together with Umberto Mosco and with my next studies in Pisa where I met Ennio De Giorgi and where I had the good fortune of assisting to the birth of the G−convergence and the Γ−convergence theories, with some connections with the Mosco’s convergence.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/301-323.pdfelliptic systemsregularity of solutionsgeneral growth conditionsgammaconvergenceg-convergencemosco-convergence. |
| spellingShingle | Paolo Marcellini Interior gradient bounds for nonlinear elliptic systems Rendiconti di Matematica e delle Sue Applicazioni elliptic systems regularity of solutions general growth conditions gammaconvergence g-convergence mosco-convergence. |
| title | Interior gradient bounds for nonlinear elliptic systems |
| title_full | Interior gradient bounds for nonlinear elliptic systems |
| title_fullStr | Interior gradient bounds for nonlinear elliptic systems |
| title_full_unstemmed | Interior gradient bounds for nonlinear elliptic systems |
| title_short | Interior gradient bounds for nonlinear elliptic systems |
| title_sort | interior gradient bounds for nonlinear elliptic systems |
| topic | elliptic systems regularity of solutions general growth conditions gammaconvergence g-convergence mosco-convergence. |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/301-323.pdf |
| work_keys_str_mv | AT paolomarcellini interiorgradientboundsfornonlinearellipticsystems |