Results 1 to 10 of about 30,910 (222)

Multiple solutions for a Kirchhoff-type equation with general nonlinearity

Advances in Nonlinear Analysis, 2018
This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
doaj   +2 more sources

Concentration phenomena for a fractional Schr\"odinger-Kirchhoff type equation

Mathematical Methods in the Applied Sciences, 2017
In this paper we deal with the multiplicity and concentration of positive solutions for the following fractional Schr\"odinger-Kirchhoff type equation \begin{equation*} M\left(\frac{1}{\varepsilon^{3-2s}} \iint_{\mathbb{R}^{6}}\frac{|u(x)- u(y)|^{2}}{|x ...
Ambrosio, Vincenzo, Isernia, Teresa
core   +4 more sources

Parameter Identification Problem for the Kirchhoff-Type Equation with Viscosity [PDF]

Abstract and Applied Analysis, 2012
The constant parameter identification problem in the Kirchhoff-type equation with viscosity is studied. The problem is formulated by a minimization of quadratic cost functionals by distributive measurements.
Jinsoo Hwang
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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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Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities

Advances in Nonlinear Analysis, 2021
We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
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Multiple Sign-Changing Solutions for Kirchhoff-Type Equations [PDF]

Discrete Dynamics in Nature and Society, 2015
We study the following Kirchhoff-type equations-a+b∫Ω∇u2dxΔu+Vxu=fx,u, inΩ,u=0, in∂Ω, whereΩis a bounded smooth domain ofRN  (N=1,2,3),a>0,b≥0,f∈C(Ω¯×R,R), andV∈C(Ω¯,R). Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign-changing.
Xingping Li, Xiumei He
openaire   +2 more sources

Global solutions for a nonlinear Kirchhoff type equation with viscosity [PDF]

Opuscula Mathematica, 2023
In this paper we consider the existence and asymptotic behavior of solutions of the following nonlinear Kirchhoff type problem \[u_{tt}- M\left(\,\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u - \delta\triangle u_{t}= \mu|u|^{\rho-2}u ...
Eugenio Cabanillas Lapa
doaj   +1 more source

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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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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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