Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

DOI10.1515/anona-2023-0104arXiv2305.12180MaRDI QIDQ6119523

Biagio Ricceri

Publication date: 1 March 2024

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.12180

zbMATH Keywords

Dirichlet problemKirchhoff-type equationexistence of a unique solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Bifurcation of positive solutions for a nonlocal problem
• Study of a nonlinear Kirchhoff equation with non-homogeneous material
• A mountain pass theorem
• Some remarks on the comparison principle in Kirchhoff equations
• Bifurcation diagrams of one-dimensional Kirchhoff-type equations
• Editorial. Progress in nonlinear Kirchhoff problems
• On a minimax theorem: an improvement, a new proof and an overview of its applications
• Remarks on sublinear elliptic equations
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