Results 21 to 30 of about 41,256 (237)
Quantum Hydrodynamics: Kirchhoff Equations [PDF]
Foundations of Physics, 2019 Accepted for publication in foundations of physics and this version contains quant-ph 1709.02075 and quant-ph 1609 ...
openaire +2 more sources
International Journal of Differential Equations, 2019 We consider a damped Kirchhoff-type equation with Dirichlet boundary conditions. The objective is to show the Fréchet differentiability of a nonlinear solution map from a bilinear control input to the solution of a Kirchhoff-type equation.
Jin-soo Hwang
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper focuses on the modified Kirchhoff equation \begin{align*} -\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\Delta u-u\Delta (u^2)+V(x)u=\lambda f(u), \quad x\in \mathbb{R}^N, \end{align*} where $a,b>0$, $V(x)\in C(\mathbb{R}^N,\mathbb{R})$ and
Zhongxiang Wang, Gao Jia
doaj +1 more source
Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces [PDF]
, 2018 We introduce a coupled finite and boundary element formulation for acoustic scattering analysis over thin shell structures. A triangular Loop subdivision surface discretisation is used for both geometry and analysis fields.
Cirak, Fehmi +3 more
core +3 more sources
Positive Solutions of Elliptic Kirchhoff Equations
Advanced Nonlinear Studies, 2016 Abstract We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
openaire +3 more sources
Existence, multiplicity and nonexistence results for Kirchhoff type equations
Advances in Nonlinear Analysis, 2020 In this paper, we study following Kirchhoff type equation:
He Wei, Qin Dongdong, Wu Qingfang
doaj +1 more source
The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
doaj +1 more source
Global solvability for semi-discrete Kirchhoff equation
Mathematical Methods in the Applied Sciences, 2023 In this paper, we consider the global solvability and energy conservation for initial value problem of nonlinear semi-discrete wave equation of Kirchhoff type, which is a discretized model of Kirchhoff equation.
openaire +2 more sources
n-Kirchhoff–Choquard equations with exponential nonlinearity
Nonlinear Analysis, 2019 This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see $(KC)$ below). We use the variational method in the light of Moser-Trudinger inequality to show the existence of weak solutions to $(KC)$.
Arora, R. +3 more
openaire +4 more sources
Global bifurcation and nodal solutions for homogeneous Kirchhoff type equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we shall study unilateral global bifurcation phenomenon for the following homogeneous Kirchhoff type problem \begin{equation*} \begin{cases} -\left(\int_0^1 \left\vert u'\right\vert^2\,dx\right)u''=\lambda u^3+h(x,u,\lambda)&\text{in}\,\, (
Fang Liu, Hua Luo, Guowei Dai
doaj +1 more source