Local estimates for functionals rotationally invariant with respect to the gradient
This paper concerns minimization problems from Calculus of Variations rotationally invariant with respect to the gradient. Inspired by properties associated with results which are valid for elliptic partial differential equations, it presents some local estimates nearby non extremum points as well a...
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| Format: | Article |
| Language: | English |
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EJAAM
2022-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2022/10.2478-ejaam-2022-0006.pdf |
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| author | Telma João Santos |
| author_facet | Telma João Santos |
| author_sort | Telma João Santos |
| collection | DOAJ |
| description | This paper concerns minimization problems from Calculus of Variations rotationally invariant with respect to the gradient. Inspired by properties associated with results which are valid for elliptic partial differential equations, it presents some local estimates nearby non extremum points as well as nearby extremum points for these problems, generalizing some results obtained by Arrigo Cellina, Vladimir V. Goncharov and myself. As a consequence, some local estimates are obtained for the difference between the supremum and the infimum of any solution to the problem considered |
| format | Article |
| id | doaj-art-84b13b0ddb84460c885da073fea28465 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-84b13b0ddb84460c885da073fea284652025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902022-12-01202210.2478/ejaam-2022-0006Local estimates for functionals rotationally invariant with respect to the gradientTelma João Santos0Rua Romão Ramalho 59, 7000-671, Évora, PortugalThis paper concerns minimization problems from Calculus of Variations rotationally invariant with respect to the gradient. Inspired by properties associated with results which are valid for elliptic partial differential equations, it presents some local estimates nearby non extremum points as well as nearby extremum points for these problems, generalizing some results obtained by Arrigo Cellina, Vladimir V. Goncharov and myself. As a consequence, some local estimates are obtained for the difference between the supremum and the infimum of any solution to the problem consideredhttps://ejaam.org/articles/2022/10.2478-ejaam-2022-0006.pdfcalculus of variationspartial differential equationscomparison theoremlocal estimates for solutions |
| spellingShingle | Telma João Santos Local estimates for functionals rotationally invariant with respect to the gradient E-Journal of Analysis and Applied Mathematics calculus of variations partial differential equations comparison theorem local estimates for solutions |
| title | Local estimates for functionals rotationally invariant with respect to the gradient |
| title_full | Local estimates for functionals rotationally invariant with respect to the gradient |
| title_fullStr | Local estimates for functionals rotationally invariant with respect to the gradient |
| title_full_unstemmed | Local estimates for functionals rotationally invariant with respect to the gradient |
| title_short | Local estimates for functionals rotationally invariant with respect to the gradient |
| title_sort | local estimates for functionals rotationally invariant with respect to the gradient |
| topic | calculus of variations partial differential equations comparison theorem local estimates for solutions |
| url | https://ejaam.org/articles/2022/10.2478-ejaam-2022-0006.pdf |
| work_keys_str_mv | AT telmajoaosantos localestimatesforfunctionalsrotationallyinvariantwithrespecttothegradient |