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http://hdl.handle.net/2067/48644| Title: | A Brezis-Oswald approach for mixed local and nonlocal operators | Authors: | Biagi, Stefano Mugnai, Dimitri Vecchi, Eugenio |
Journal: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | Issue Date: | 2022 | Abstract: | In this paper, we provide necessary and sufficient conditions for the existence of a unique positive weak solution for some sublinear Dirichlet problems driven by the sum of a quasilinear local and a nonlocal operator, i.e. Lp,s = -Cp + (-C)ps. Our main result is resemblant to the celebrated work by Brezis-Oswald [Remarks on sublinear elliptic equations, Nonlinear Anal. 10 (1986) 55-64]. In addition, we prove a regularity result of independent interest. |
URI: | http://hdl.handle.net/2067/48644 | ISSN: | 02191997 | DOI: | 10.1142/S0219199722500572 |
| Appears in Collections: | A1. Articolo in rivista |
Files in This Item:
| File | Description | Size | Format | Existing users please |
|---|---|---|---|---|
| BMV_BO_approach.pdf | accepted version | 360.97 kB | Adobe PDF | Request a copy |
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