Work

Existence and regularity of solutions for elliptic systems with mixed boundary conditions

Year: 2025

Type: article

Abstract: In this article we study elliptic systems involving nonstandard mixed boundary conditions in a bounded domain, possibly multiply connected. We prove the existence and uniqueness of weak and strong solutions of such problems in the Hilbert setting. Then, we generalize our results to the \(L^p\)-theory using some inf-sup conditions. For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2025/103/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.103

Authors: Imane Boussetouan, Cherif Amrouche

Institutions: National Higher School of Technology and Engineering Annaba, Laboratoire de Mathématiques et de leurs Applications

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415836923

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