Work

Dirichlet problems with fractional competing operators and fractional convection

Year: 2024

Type: article

Abstract: In this paper, the existence of weak solutions to some Dirichlet problems with fractional competing operators and distributional Riesz fractional gradient is investigated. Due to the nature of driving operators, the most known techniques, basically based on ellipticity and monotonicity, are no longer applicable. Generalized solutions (in a suitable sense) are obtained via an approximation procedure and a corollary of the Brouwer fixed point theorem.

Source: Fractional Calculus and Applied Analysis

Authors: Laura Gambera, Salvatore Angelo Marano, Dumitru Motreanu

Institutions: University of Palermo, University of Catania, Université de Perpignan, Yulin Normal University

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", Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Palermo

Awards: G3859132754, G620845374