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{...

For the SEG-EAGE salt data set, common-azimuth migration produces better images in the subsalt than single-arrival Kirchhoff migration, at a similar computational cost. Subsalt reflectors are better imaged and the typical Kirchhoff artifacts caused by severe multipathing disappear. We show how angle-domain Common Image Gathers (CIG) can be easily extracted from prestack wavefield downward conti...

In this paper, a high-order iterative scheme is established in order to get convergent sequence at rate of N, (N ≥ 2) local unique weak solution nonlinear Kirchhoff-type wave equation associated with Robin conditions.

We consider the existence and uniqueness of solution to a fourth-order Kirchhoff type elliptic equation with strong singularity. By using Ekeland’s variational principle in suitable subsets $H_0^2(\Omega )$, we obtain necessary sufficient conditi