Regularity results for a free interface problem with Hölder coefficients
Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Esposito, L. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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| Anmerkung: |
© The Author(s) 2023 |
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| Übergeordnetes Werk: |
Enthalten in: Calculus of variations and partial differential equations - Springer Berlin Heidelberg, 1993, 62(2023), 5 vom: 22. Mai |
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| Übergeordnetes Werk: |
volume:62 ; year:2023 ; number:5 ; day:22 ; month:05 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00526-023-02490-x |
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OLC2143756151 |
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| 520 | |a Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. | ||
| 700 | 1 | |a Lamberti, L. |0 (orcid)0000-0002-2649-6011 |4 aut | |
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10.1007/s00526-023-02490-x doi (DE-627)OLC2143756151 (DE-He213)s00526-023-02490-x-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Esposito, L. verfasserin (orcid)0000-0003-1733-8449 aut Regularity results for a free interface problem with Hölder coefficients 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2023 Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. Lamberti, L. (orcid)0000-0002-2649-6011 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 62(2023), 5 vom: 22. Mai (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:62 year:2023 number:5 day:22 month:05 https://doi.org/10.1007/s00526-023-02490-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 62 2023 5 22 05 |
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10.1007/s00526-023-02490-x doi (DE-627)OLC2143756151 (DE-He213)s00526-023-02490-x-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Esposito, L. verfasserin (orcid)0000-0003-1733-8449 aut Regularity results for a free interface problem with Hölder coefficients 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2023 Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. Lamberti, L. (orcid)0000-0002-2649-6011 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 62(2023), 5 vom: 22. Mai (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:62 year:2023 number:5 day:22 month:05 https://doi.org/10.1007/s00526-023-02490-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 62 2023 5 22 05 |
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10.1007/s00526-023-02490-x doi (DE-627)OLC2143756151 (DE-He213)s00526-023-02490-x-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Esposito, L. verfasserin (orcid)0000-0003-1733-8449 aut Regularity results for a free interface problem with Hölder coefficients 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2023 Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. Lamberti, L. (orcid)0000-0002-2649-6011 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 62(2023), 5 vom: 22. Mai (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:62 year:2023 number:5 day:22 month:05 https://doi.org/10.1007/s00526-023-02490-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 62 2023 5 22 05 |
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10.1007/s00526-023-02490-x doi (DE-627)OLC2143756151 (DE-He213)s00526-023-02490-x-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Esposito, L. verfasserin (orcid)0000-0003-1733-8449 aut Regularity results for a free interface problem with Hölder coefficients 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2023 Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. Lamberti, L. (orcid)0000-0002-2649-6011 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 62(2023), 5 vom: 22. Mai (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:62 year:2023 number:5 day:22 month:05 https://doi.org/10.1007/s00526-023-02490-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 62 2023 5 22 05 |
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Regularity results for a free interface problem with Hölder coefficients |
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Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. © The Author(s) 2023 |
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Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. © The Author(s) 2023 |
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Abstract We study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variable u and the position x. We employ the regularity theory of $$\Lambda $$-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect to x and u that is of Hölder type. © The Author(s) 2023 |
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