Work

Variational methods for nonpositive mixed local–nonlocal operators

Year: 2023

Type: article

Abstract: We prove the existence of a weak solution for boundary value problems driven by a mixed local–nonlocal operator. The main novelty is that such an operator is allowed to be nonpositive definite.

Source: Fractional Calculus and Applied Analysis

DOI: 10.1007/s13540-023-00147-2

Authors: Alberto Maione, Dimitri Mugnai, Eugenio Vecchi

Institutions: University of Freiburg, Università degli Studi della Tuscia, University of Bologna

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,690

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Deutsche Forschungsgemeinschaft, Albert-Ludwigs-Universität Freiburg, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Awards: G375838716, G4022907568, G546635654, G643201235

OpenAlex ID: W4366336553

FWCI: 8.635

Cites: 30

Cited by: 19

Related to: 10