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EnglishWe consider a boundary value problem driven by the p-fractional Laplacian with nonlocal Robin boundary conditions and we provide necessary and sufficient conditions which ensure the existence of a unique positive (weak) solution. The results proved in this paper can be considered a first step towards a complete generalization of the classical result by Brezis and Oswald (Nonlinear Anal 10:55–64, 1986) to the nonlocal setting.
Towards a Brezis–Oswald-type result for fractional problems with Robin boundary conditions / Pinamonti, Andrea; Vecchi, Eugenio; Mugnai, Dimitri. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1432-0835. - 2020/59:2(2020), pp. 4301-4325. [10.1007/s00526-020-1708-8]
| Titolo: | Towards a Brezis–Oswald-type result for fractional problems with Robin boundary conditions | |
| Autori: | Pinamonti, Andrea; Vecchi, Eugenio; Mugnai, Dimitri | |
| Autori Unitn: | ||
| Titolo del periodico: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | |
| Anno di pubblicazione: | 2020 | |
| Numero e parte del fascicolo: | 2 | |
| Codice identificativo Scopus: | 2-s2.0-85079033604 | |
| Codice identificativo WOS: | WOS:000511620400001 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00526-020-1708-8 | |
| Handle: | http://hdl.handle.net/11572/266890 | |
| Citazione: | Towards a Brezis–Oswald-type result for fractional problems with Robin boundary conditions / Pinamonti, Andrea; Vecchi, Eugenio; Mugnai, Dimitri. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1432-0835. - 2020/59:2(2020), pp. 4301-4325. [10.1007/s00526-020-1708-8] | |
| Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| MPV_revised.pdf | Post-print referato (Refereed author’s manuscript) | Tutti i diritti riservati (All rights reserved) | Administrator | |
| Mugnai2020_Article_TowardsABrezisOswald-typeResul.pdf | Versione editoriale (Publisher’s layout) | Tutti i diritti riservati (All rights reserved) | Administrator |
http://hdl.handle.net/11572/266890
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