Dirichlet problems with fractional competing operators and fractional convection-Reference-Cited by-同舟云学术

Dirichlet problems with fractional competing operators and fractional convection

Published:2024-09-04 Issue: Volume: Page:
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:Fract Calc Appl Anal

Author:

Gambera Laura^ORCID,Marano Salvatore Angelo,Motreanu Dumitru

Abstract

AbstractIn 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Due to the nature of driving operators, the most known techniques, basically based on ellipticity and monotonicity, are no longer applicable.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.

Funder

Ministero dell’Istruzione, dell’Universitá e della Ricerca

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s13540-024-00331-y.pdf

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