This paper is concerned with the following fractional $ p $-Kirchhoff equation \begin{document}$ \begin{eqnarray*} \left\{ \begin{array}{ll} \varepsilon ^{sp}M\left( {\varepsilon ^{sp - N}}\iint_{\mathbb{R}^{2N}}\frac{{{{\left| {u(x) u(y)} \right|}^p}}}{{{{\left| {x y} \right|}^{N + sp}}}}dxdy\right)(-\Delta)_p^su V(x){u^{p 1}} = {u^{p_s^* 1}}+f(u), \\ u>0, \ \mbox{in}\ {\mathbb{R}^N}, \end{...

This article considers p(x)-Kirchhoff type problems with Robin boundary conditions. Using the mountain pass theorem, Ekeland's variational principle, and Krasnoselskii's genus theory, we prove that problem has at least two nontrivial weak solutions or infinitely many under some suitable conditions on nonlinearities. The main results improve generalize previous ones introduced in [2,7].

Abstract We present a new study of linear elasticity for an infinite three-dimensional plate of finite thickness Ω = IR2×(−1, 1). We first caracterize the kernel of the operator of elasticity as polynomials which can be build from the kernel of the classical Kirchhoff-Love model of plate. Using this characterization we get optimal uniform elliptic estimates W , C on the solution as a function o...

This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces variable exponent $$W^{s,p(.),{\tilde{p}}(.,.)} (\Omega )$$ , when p $${\tilde{p}}$$ satisfy some conditions. As application, we study the existence of solutions a class Kirchhoff–Choquard problem in $${\mathbb {R}}^N$$ .

In this work, by using variational methods we study the existence of nontrivial positive solutions for a class p-Kirchhoff type problems with critical Sobolev exponent.

Hybrid rigid–flexible mechanisms are a type of compliant mechanism that combines rigid and flexible elements, being their mobility is due to rigid-body joints the relative flexibility bendable rods. Two modeling methods rods Cosserat rod model its simplification, Kirchhoff model. Both them present system differential equations must be solved in conjunction with boundary constraints rod, leading...