Results 1 to 10 of about 2,446 (118)
Positive Solutions of Elliptic Kirchhoff Equations
Advanced Nonlinear Studies, 2017 We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Antonio Ambrosetti, David Arcoya
exaly +2 more sources
Existence and multiplicity of entire solutions for fractional p -Kirchhoff equations
Advances in Nonlinear Analysis, 2016 The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Patrizia Pucci +2 more
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Axioms, 2023 We have proposed a development of the variational iteration method (VIM), or extended Kantorovich method, by studying physically nonlinear (FN) or geometrically nonlinear (GN) Kirchhoff nanoplates as an example. The modified couple stress theory was used
Aleksey D. Tebyakin +3 more
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Existence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critical exponents
Boundary Value Problems, 2020 In this paper, we consider a class of fractional Kirchhoff equations with L 2 $L^{2}$ critical exponents. By using the scaling technique and concentration-compactness principle we obtain the existence and nonexistence of ground state for fractional ...
Yaling Han, Yimin Zhang
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Demonstratio Mathematica, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on the long-time dynamics of a class of higher-order coupled Kirchhoff systems with nonlinear strong damping.
Lv Penghui, Lin Guoguang, Lv Xiaojun
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Mathematical Modelling and Analysis, 2023 The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices.
Nikolajus Kozulinas +3 more
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A bifurcation-type result for Kirchhoff equations
Comptes Rendus. Mathématique, 2022 This paper deals with a class of Kirchhoff type elliptic Dirichlet boundary value problems where the combined effects of Kirchhoff term and nonlinear term allow us to establish a bifurcation-type result as the positive parameter varies.
Liu, Jiu +3 more
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A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]
Opuscula MathematicaThis paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
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Abstract and Applied Analysis, 2013 We study Kirchhoff plates equations with viscoelastic boundary conditions in a noncylindrical domain. This work is devoted to proving the global existence, uniqueness of solutions, and decay of the energy of solutions for Kirchhoff plates equations in a ...
Jum-Ran Kang
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Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions
Boundary Value Problems, 2017 We investigate the existence of multiple solutions for perturbed nonlocal fourth-order equations of Kirchhoff type under Navier boundary conditions. We give some new criteria for guaranteeing that the perturbed fourth-order equations of Kirchhoff type ...
Shapour Heidarkhani +3 more
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