I present a method for anti-aliasing Kirchhoff imaging operators that improves the resolution of the image by properly imaging aliased components of the recorded data that would be suppressed by standard anti-aliasing methods for Kirchhoff operators. The proposed method succeeds in imaging “beyond aliasing” without generating aliasing noise because it exploits a priori knowledge on the dipspect...

In this paper‎, ‎we consider the following Kirchhoff-type equations‎: ‎$-‎left(a+bint_{mathbb{R}^{3}}|nabla u|^{2}right)Delta u+V(x) u=lambda$ $f(x,u)+u^{5}‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$u(x)>0‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$uin H^{1}(mathbb{R}^{3})‎ ,‎$ ‎ ‎‎‎where $a,b>0$ are constants and $lambda$ is a positive parameter‎. ‎The aim of this paper is to study the existence of positive ...

The Kirchhoff-Love plate model is a widely used in the analysis of thin elastic plates. It is well known that Kirchhoff-Love solutions can be viewed as certain limits of displacements and stresses for elastic plates where the thickness tends to zero. In this paper, we consider the problem from a different point of view and derive computable upper bounds of the difference between the exact three...

In this article, we study a Kirchhoff type problem with a positive parameter λ,

In this article, we apply the Nehari manifold method to study the Kirchhoff type equation

A class of Kirchhoff type systems with nonlinear boundary conditions considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.

This paper deals with the existence and multiplicity of solutions for a perturbed nonlocal fourth-order class p(·)&q(·)-Kirchhoff elliptic systems under Navier boundary conditions. By using variational method Ricceri’s critical point theorem, we can find proper conditions to ensure that (p(x),q(x))-Kirchhoff has at least three weak solutions. We have extended improved some recent results. T...

in exploration seismology, migration refers to a multi-channel processing step that attempts to spatially re-position events and improve focusing. before migration, seismic data is usually displayed with traces plotted at the surface location of the receivers and with a vertical time axis. this means that dipping reflections are systematically mispositioned in the lateral coordinate and the ver...