On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions
Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we e...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mugnai, Dimitri [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Rendiconti del Circolo Matematico di Palermo Series 2 - Springer International Publishing, 1884, 71(2022), 3 vom: 27. Mai, Seite 1035-1048 |
|---|---|
| Übergeordnetes Werk: |
volume:71 ; year:2022 ; number:3 ; day:27 ; month:05 ; pages:1035-1048 |
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| DOI / URN: |
10.1007/s12215-022-00755-6 |
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| 520 | |a Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. | ||
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10.1007/s12215-022-00755-6 doi (DE-627)OLC2079822772 (DE-He213)s12215-022-00755-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Mugnai, Dimitri verfasserin (orcid)0000-0001-8908-5220 aut On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. Mixed local and fractional Laplacians ( )-Neumann boundary conditions Asymptotically linear problem Parabolic problem Proietti Lippi, Edoardo aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 71(2022), 3 vom: 27. Mai, Seite 1035-1048 (DE-627)129477761 (DE-600)203791-9 (DE-576)014858398 0009-725X nnns volume:71 year:2022 number:3 day:27 month:05 pages:1035-1048 https://doi.org/10.1007/s12215-022-00755-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_40 GBV_ILN_171 AR 71 2022 3 27 05 1035-1048 |
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10.1007/s12215-022-00755-6 doi (DE-627)OLC2079822772 (DE-He213)s12215-022-00755-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Mugnai, Dimitri verfasserin (orcid)0000-0001-8908-5220 aut On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. Mixed local and fractional Laplacians ( )-Neumann boundary conditions Asymptotically linear problem Parabolic problem Proietti Lippi, Edoardo aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 71(2022), 3 vom: 27. Mai, Seite 1035-1048 (DE-627)129477761 (DE-600)203791-9 (DE-576)014858398 0009-725X nnns volume:71 year:2022 number:3 day:27 month:05 pages:1035-1048 https://doi.org/10.1007/s12215-022-00755-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_40 GBV_ILN_171 AR 71 2022 3 27 05 1035-1048 |
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10.1007/s12215-022-00755-6 doi (DE-627)OLC2079822772 (DE-He213)s12215-022-00755-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Mugnai, Dimitri verfasserin (orcid)0000-0001-8908-5220 aut On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. Mixed local and fractional Laplacians ( )-Neumann boundary conditions Asymptotically linear problem Parabolic problem Proietti Lippi, Edoardo aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 71(2022), 3 vom: 27. Mai, Seite 1035-1048 (DE-627)129477761 (DE-600)203791-9 (DE-576)014858398 0009-725X nnns volume:71 year:2022 number:3 day:27 month:05 pages:1035-1048 https://doi.org/10.1007/s12215-022-00755-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_40 GBV_ILN_171 AR 71 2022 3 27 05 1035-1048 |
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10.1007/s12215-022-00755-6 doi (DE-627)OLC2079822772 (DE-He213)s12215-022-00755-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Mugnai, Dimitri verfasserin (orcid)0000-0001-8908-5220 aut On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. Mixed local and fractional Laplacians ( )-Neumann boundary conditions Asymptotically linear problem Parabolic problem Proietti Lippi, Edoardo aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 71(2022), 3 vom: 27. Mai, Seite 1035-1048 (DE-627)129477761 (DE-600)203791-9 (DE-576)014858398 0009-725X nnns volume:71 year:2022 number:3 day:27 month:05 pages:1035-1048 https://doi.org/10.1007/s12215-022-00755-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_40 GBV_ILN_171 AR 71 2022 3 27 05 1035-1048 |
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10.1007/s12215-022-00755-6 doi (DE-627)OLC2079822772 (DE-He213)s12215-022-00755-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Mugnai, Dimitri verfasserin (orcid)0000-0001-8908-5220 aut On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. Mixed local and fractional Laplacians ( )-Neumann boundary conditions Asymptotically linear problem Parabolic problem Proietti Lippi, Edoardo aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 71(2022), 3 vom: 27. Mai, Seite 1035-1048 (DE-627)129477761 (DE-600)203791-9 (DE-576)014858398 0009-725X nnns volume:71 year:2022 number:3 day:27 month:05 pages:1035-1048 https://doi.org/10.1007/s12215-022-00755-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_40 GBV_ILN_171 AR 71 2022 3 27 05 1035-1048 |
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Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 |
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Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 |
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Abstract We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called $$(\alpha , \beta )$$-Neumann conditions in an essentially linear context. Indeed, first we show an existence result for asymptotically linear elliptic problems, and then we establish some qualitative properties for solutions of the associated homogeneous parabolic problem, extending to this setting related results in the local case. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2022 |
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On mixed local-nonlocal operators with $$(\alpha , \beta )$$-Neumann conditions |
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Proietti Lippi, Edoardo |
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