Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a Lieberman-like condition but the hypothesis o...
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| Format: | Article |
| Language: | English |
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Sciendo
2017-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.1515/auom-2017-0035 |
| _version_ | 1818745215022792704 |
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| author | Arriagada Waldo Huentutripay Jorge |
| author_facet | Arriagada Waldo Huentutripay Jorge |
| author_sort | Arriagada Waldo |
| collection | DOAJ |
| description | In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a Lieberman-like condition but the hypothesis of differentiability is dropped. This is in striking contrast with the classical case. |
| first_indexed | 2024-12-18T02:56:39Z |
| format | Article |
| id | doaj.art-6da1837569024d0bb7f9bacf935789d9 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-18T02:56:39Z |
| publishDate | 2017-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-6da1837569024d0bb7f9bacf935789d92022-12-21T21:23:21ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352017-12-01253597210.1515/auom-2017-0035Regularity, positivity and asymptotic vanishing of solutions of a φ-LaplacianArriagada Waldo0Huentutripay Jorge1Department of Applied Mathematics and Sciences, Khalifa University, Al Zafranah, P.O. Box 127788, Abu Dhabi, United Arab EmiratesInstituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Casilla 567, Valdivia, ChileIn this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a Lieberman-like condition but the hypothesis of differentiability is dropped. This is in striking contrast with the classical case.https://doi.org/10.1515/auom-2017-0035orlicz-sobolev spaceφ-laplacianregularityasymptotic vanishingprimary 35p3035j20secondary 46e30 |
| spellingShingle | Arriagada Waldo Huentutripay Jorge Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica orlicz-sobolev space φ-laplacian regularity asymptotic vanishing primary 35p30 35j20 secondary 46e30 |
| title | Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian |
| title_full | Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian |
| title_fullStr | Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian |
| title_full_unstemmed | Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian |
| title_short | Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian |
| title_sort | regularity positivity and asymptotic vanishing of solutions of a φ laplacian |
| topic | orlicz-sobolev space φ-laplacian regularity asymptotic vanishing primary 35p30 35j20 secondary 46e30 |
| url | https://doi.org/10.1515/auom-2017-0035 |
| work_keys_str_mv | AT arriagadawaldo regularitypositivityandasymptoticvanishingofsolutionsofaphlaplacian AT huentutripayjorge regularitypositivityandasymptoticvanishingofsolutionsofaphlaplacian |