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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for a Kirchhoff-type fractional coupled problem with p-Laplacian
p-Laplacian算子 Kirchhoff型分数 耦合问题 多重解
2023/11/13
We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
一类含有扰动项的Kirchhoff型方程解的多重性
Kirchhoff型方程 Nehari流形 扰动项 临界点理论
2022/3/11
考虑含有扰动项的非线性Kirchhoff型问题-(a+b∫Ω∣▽u∣2dx)Δu=f(x,u)+h(x)。在非线性项f适当的假设条件下,利用Nehari流形、临界点理论和一些分析技巧，研究一类含有扰动项的Kirchhoff型方程解的多重性。
研究一类带Hardy-Sobolev临界指数的Kirchhoff型方程其中Ω⊂R3是一个有界开区域且边界∂Ω光滑，0∈Ω，a，b≥0且a+b>0，λ>0，0 < q < 1，0≤s<1。利用变分方法，获得该问题正解的存在性结果。
Spatial Behaviour for the Harmonic Vibrations in Plates of Kirchhoff Type
Kirchhoff plates Spatial behaviour Harmonic vibrations
2008/6/26
In this paper the spatial behaviour of the steady-state solutions for an equation of Kirchhoff type describing the motion of thin plates is investigated. Growth and decay estimates are established ass...