Isotropic and anisotropic double-phase problems: old and new
We are concerned with the study of two classes of nonlinear problems driven by differential operators with unbalanced growth, which generalize the \((p,q)\)- and \((p(x),q(x))\)-Laplace operators. The associated energy is a double-phase functional, either isotropic or anisotropic. The content of thi...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2019-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol39/2/art/opuscula_math_3917.pdf |
| _version_ | 1819315463749894144 |
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| author | Vicenţiu D. Rădulescu |
| author_facet | Vicenţiu D. Rădulescu |
| author_sort | Vicenţiu D. Rădulescu |
| collection | DOAJ |
| description | We are concerned with the study of two classes of nonlinear problems driven by differential operators with unbalanced growth, which generalize the \((p,q)\)- and \((p(x),q(x))\)-Laplace operators. The associated energy is a double-phase functional, either isotropic or anisotropic. The content of this paper is in relationship with pioneering contributions due to P. Marcellini and G. Mingione. |
| first_indexed | 2024-12-24T10:00:31Z |
| format | Article |
| id | doaj.art-d0d708d0e739482ab309024b93e29c18 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-24T10:00:31Z |
| publishDate | 2019-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-d0d708d0e739482ab309024b93e29c182022-12-21T17:01:07ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742019-01-01392259279https://doi.org/10.7494/OpMath.2019.39.2.2593917Isotropic and anisotropic double-phase problems: old and newVicenţiu D. Rădulescu0https://orcid.org/0000-0003-4615-5537AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, PolandWe are concerned with the study of two classes of nonlinear problems driven by differential operators with unbalanced growth, which generalize the \((p,q)\)- and \((p(x),q(x))\)-Laplace operators. The associated energy is a double-phase functional, either isotropic or anisotropic. The content of this paper is in relationship with pioneering contributions due to P. Marcellini and G. Mingione.https://www.opuscula.agh.edu.pl/vol39/2/art/opuscula_math_3917.pdfdifferential operator with unbalanced growthdouble-phase energyvariable exponent |
| spellingShingle | Vicenţiu D. Rădulescu Isotropic and anisotropic double-phase problems: old and new Opuscula Mathematica differential operator with unbalanced growth double-phase energy variable exponent |
| title | Isotropic and anisotropic double-phase problems: old and new |
| title_full | Isotropic and anisotropic double-phase problems: old and new |
| title_fullStr | Isotropic and anisotropic double-phase problems: old and new |
| title_full_unstemmed | Isotropic and anisotropic double-phase problems: old and new |
| title_short | Isotropic and anisotropic double-phase problems: old and new |
| title_sort | isotropic and anisotropic double phase problems old and new |
| topic | differential operator with unbalanced growth double-phase energy variable exponent |
| url | https://www.opuscula.agh.edu.pl/vol39/2/art/opuscula_math_3917.pdf |
| work_keys_str_mv | AT vicentiudradulescu isotropicandanisotropicdoublephaseproblemsoldandnew |