Results 21 to 30 of about 3,079 (223)

Longer Lifespan for Many Solutions of the Kirchhoff Equation [PDF]

SIAM Journal on Mathematical Analysis, 2022
41 ...
Baldi P., Haus E.
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Multiplicity of solutions for a p-Kirchhoff equation [PDF]

Boundary Value Problems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jincheng, Jiang, Zhaomin, Li, Zhiyan, Wang, Jun   +3 more
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DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS [PDF]

Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics, 2007
The aim of this article is to describe asymptotic profiles for the Kirchhoff equation, and to establish time decay properties and dispersive estimates for Kirchhoff equations. For this purpose, the method of asymptotic integration is developed for the corresponding linear equations and representation formulae for their solutions are obtained.
Matsuyama, Tokio, Ruzhansky, Michael
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Existence and multiplicity of nontrivial solutions to the modified Kirchhoff equation without the growth and Ambrosetti–Rabinowitz conditions

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
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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
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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
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n-Kirchhoff type equations with exponential nonlinearities [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015
Results from earlier version are improved. RACSAM - Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A.
Goyal, Sarika, Mishra, Pawan Kumar, Sreenadh, K.   +2 more
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Existence of radial sign-changing solution for a fractional autonomous Kirchhoff equation

四川大学学报. 自然科学版, 2020
The existence of sign-changing solutions for a fractional autonomous Kirchhoff equation is considered in the whole space. We prove that this equation is equivalent to a fractional autonomous Schr&odinger system under appropriate conditions.
ZHANG Dan-dan, DING Ling
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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
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Existence and Asymptotic Behavior of Ground State Solutions to Kirchhoff-Type Equations of General Convolution Nonlinearity with a Steep Potential Well

Mathematics, 2022
In this paper, we consider a new kind of Kirchhoff-type equation which is stated in the introduction. Under certain assumptions on potentials, we prove by variational methods that the equation has at least a ground state solution and investigate the ...
Li Zhou, Chuanxi Zhu
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