Work

Qualitative analysis for a new constrained hyperbolic p-Kirchhoff type problem involving free boundary

Year: 2025

Type: article

Abstract: In this work, we investigate the existence of weak solutions for a constrained hyperbolic p -Kirchhoff type problem involving a free boundary. We employ the Discrete Morse Flow (DMF) approach, which reformulates the original problem as a sequence of minimization problems in discrete time intervals. This ensures the existence of a minimizer for the discretized functional, which in turn serves as a weak solution to the main problem. The presence of non-local terms, introduced by the p -Kirchhoff term and the volume constraint with a free boundary, poses significant analytical challenges. Our study provides a rigorous treatment to overcome these difficulties. Furthermore, we present numerical simulations to illustrate the physical implications of our results.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02070-2

Authors: Fatima Ezahra Bentata, Ievgen Zaitsev

Institutions: Université Larbi Tébessi, National Academy of Sciences of Ukraine, Institute of Electrodynamics

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W4410825468

FWCI: 3.847

Cites: 10

Cited by: 2

Related to: 10