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Bibliographic Details
Main Authors: Cen, Jinxia, Marano, Salvatore A., Zeng, Shengda
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.06540
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author Cen, Jinxia
Marano, Salvatore A.
Zeng, Shengda
author_facet Cen, Jinxia
Marano, Salvatore A.
Zeng, Shengda
contents In this work, the existence of solutions (in a suitable sense) to a family of inclusion systems involving fractional, possibly competing, elliptic operators, fractional convection, and homogeneous Dirichlet boundary conditions is established. The technical approach exploits Galerkin's method and a surjective results for multifunctions in finite dimensional spaces as well as approximating techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06540
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Differential inclusion systems with fractional competing operator and multivalued fractional convection term
Cen, Jinxia
Marano, Salvatore A.
Zeng, Shengda
Analysis of PDEs
35H30, 35J92, 35D30
In this work, the existence of solutions (in a suitable sense) to a family of inclusion systems involving fractional, possibly competing, elliptic operators, fractional convection, and homogeneous Dirichlet boundary conditions is established. The technical approach exploits Galerkin's method and a surjective results for multifunctions in finite dimensional spaces as well as approximating techniques.
title Differential inclusion systems with fractional competing operator and multivalued fractional convection term
topic Analysis of PDEs
35H30, 35J92, 35D30
url https://arxiv.org/abs/2505.06540