This paper is concerned with a class of fractional p (x)-Kirchhoff type problems with Dirichlet
boundary data of the following form (PM s) M∫ Q 1 p (x, y)| u (x)− u (y)| p (x, y)| x− y| N+ sp …

The purpose of this paper is to investigate the existence and multiplicity of solutions for the
following class of fractional p (x,.)-Kirchhoff-type problems in RN (PM s) M∫ RN× RN 1 p (x …

In this paper, we study the following superlinear p-Kirchhoff-type equation:{M (∫ R 2 N| u
(x)− u (y)| p| x− y| N+ psdxdy)(−△) psu (x)− λ| u| p− 2 u= g (x, u) in Ω, u= 0 in RN∖ Ω, Under …

In this paper, we extend the fractional Sobolev spaces with variable exponents W^ s, p (x, y)
W s, p (x, y) to include the general fractional case W^ s, p (x, y) _K WK s, p (x, y), where p is a …

EXISTENCE RESULTS FOR ANISOTROPIC FRACTIONAL (p1(x, .), p2(x, .))-KIRCHHOFF TYPE
PROBLEMS 1. Introduction and statement of the m Page 1 Journal of Applied Analysis and …

In this article, by using the Fountain theorem and Mountain pass theorem in critical point
theory without Palais-Smale (PS) condition, we show the existence and multiplicity of …

In this article, we study the nonlocal $ p (x) $-Laplacian problem of the following form
$$\left\{\begin {array}{ll} M\Big (\int_ {\Omega}\frac {1}{p (x)}(|\nabla u|^{p (x)}+| u|^{p (x)}) …

∆ p (x) u= g (x, u) in Ω, u= 0 on∂ Ω, where M: R+→ R+ is a continuous function and the
nonlinear term g: Ω× R→ R satisfies the Carathéodory condition. Using the mountain pass …

The $ p (x) $-Laplacian Kirchhoff type equation involving the nonlocal term $ b\int_ {\mathbb
{R}^ N}(1/p (x))\lvert\nabla u\rvert^{p (x)} dx $ is investigated. Based on the variational …

RN (1/p (x))|∇ u| p (x) dx is investigated. Based on the variational methods, deformation
lemma and other technique of analysis, it is proved that the problem possesses one least …