Work

Existence of ground state solutions for a class of bi-non-local Kirchhoff-type problems with variable exponents

Year: 2025

Type: article

Abstract: Our goal in this work is to investigate the existence of ground state solutions, i.e., solutions with the least energy, for a bi-nonlocal Kirchhoff-type problem with variable exponents on compact Riemannian manifolds. Using a minimization argument combined with a quantitative deformation lemma and Brouwer degree theory, we establish the existence of solutions for the problem under consideration.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101201

Authors: Hind Bouaam, Mohamed El Ouaarabi, Said Melliani, Maria Alessandra Ragusa

Institutions: Université Sultan Moulay Slimane, University of Catania

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni