Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space
We prove the existence of a solution to a quasilinear system of degenerate equations, when the datum is in a Marcinkiewicz space. The main assumption asks the off-diagonal coefficients to have support in the union of a geometric progression of squares.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-08-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2023055?viewType=HTML |
| _version_ | 1797743405506232320 |
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| author | Patrizia Di Gironimo Salvatore Leonardi Francesco Leonetti Marta Macrì Pier Vincenzo Petricca |
| author_facet | Patrizia Di Gironimo Salvatore Leonardi Francesco Leonetti Marta Macrì Pier Vincenzo Petricca |
| author_sort | Patrizia Di Gironimo |
| collection | DOAJ |
| description | We prove the existence of a solution to a quasilinear system of degenerate equations, when the datum is in a Marcinkiewicz space. The main assumption asks the off-diagonal coefficients to have support in the union of a geometric progression of squares. |
| first_indexed | 2024-03-12T14:55:01Z |
| format | Article |
| id | doaj.art-c9b9cf3e25a545aba57172e8a4b075ba |
| institution | Directory Open Access Journal |
| issn | 2640-3501 |
| language | English |
| last_indexed | 2024-03-12T14:55:01Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematics in Engineering |
| spelling | doaj.art-c9b9cf3e25a545aba57172e8a4b075ba2023-08-15T01:40:51ZengAIMS PressMathematics in Engineering2640-35012023-08-015312310.3934/mine.2023055Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz spacePatrizia Di Gironimo0Salvatore Leonardi 1Francesco Leonetti 2Marta Macrì3Pier Vincenzo Petricca41. Dipartimento di Matematica, Università di Salerno, 84084 Fisciano (SA), Italy2. Dipartimento di Matematica e Informatica, Università degli Studi di Catania, 95131 Catania, Italy3. Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università di L'Aquila, 67100 L'Aquila, Italy3. Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università di L'Aquila, 67100 L'Aquila, Italy4. Via Sant'Amasio 18, 03039 Sora, ItalyWe prove the existence of a solution to a quasilinear system of degenerate equations, when the datum is in a Marcinkiewicz space. The main assumption asks the off-diagonal coefficients to have support in the union of a geometric progression of squares.https://www.aimspress.com/article/doi/10.3934/mine.2023055?viewType=HTMLdegenerate elliptic systemmarcinkiewicz spaceexistence of solution |
| spellingShingle | Patrizia Di Gironimo Salvatore Leonardi Francesco Leonetti Marta Macrì Pier Vincenzo Petricca Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space Mathematics in Engineering degenerate elliptic system marcinkiewicz space existence of solution |
| title | Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space |
| title_full | Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space |
| title_fullStr | Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space |
| title_full_unstemmed | Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space |
| title_short | Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space |
| title_sort | existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a marcinkiewicz space |
| topic | degenerate elliptic system marcinkiewicz space existence of solution |
| url | https://www.aimspress.com/article/doi/10.3934/mine.2023055?viewType=HTML |
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