We study a nonlinear p (x)-Kirchhoff type problem with Dirichlet boundary condition, in the
case of a reaction term depending also on the gradient (convection). Using a topological …

In this paper, we prove the existence of multiple solutions for the following sixth-order p (x)-
Kirchhoff-type problem− M∫ Ω 1 p (x)|∇ Δ u| p (x) dx Δ p (x) 3 u= λ f (x)| u| q (x)− 2 u+ g (x) …

We consider the Navier problem− Δ k, p 2 u (x)= f (x, u (x),∇ u (x), Δ u (x)) in Ω, u∂ Ω= Δ u∂
Ω= 0,-Δ _ k, p^ 2u (x)= f\left (x, u (x), ∇ u (x), Δ u (x)\right)\kern0. 30em in\kern0. 5em …

This work is devoted to study the existence of nontrivial solutions to nonlocal asymmetric
problems involving the m-Laplacian.(P)− M∫ Ω|∇ u| mdx Δ mu= f (x, u) in Ω, u= 0, on∂ Ω …

This paper deals with the existence of infinitely many solutions for a new class of
Schrödinger–Kirchhoff type equations of the form M\left (u _ s, p^ p+ ∫ _\mathbb R^ NV (x) …

In this article, we consider the following new Kirchhoff-type problem:− a− b∫ Ω|∇ u| 2 dx Δ
u=| u| p− 2, in Ω, u= 0, on∂ Ω, where a and b are positive constants, Ω⊂ RN is a bounded …

We are interested in the existence of solutions for the following fractional p (x,⋅)-Kirchhoff-
type problem:{M (∫ Ω× Ω| u (x)− u (y)| p (x, y) p (x, y)| x− y| N+ p (x, y) sdxdy)(− Δ) p (x,⋅) su …

This paper aims to establish the existence of a weak solution for the nonlocal problem:− a∫
Ω H (x,|∇ u|) dx Δ H u= f (x, u) in Ω, u= 0 on∂ Ω,\left {-a\left (Ω ∫ H\left (x,| ∇ u|\right) …

In this paper, we are interested in a new Kirchhoff-Schrödinger-Poisson type system on the
Heisenberg group of the form:\begin {equation*}\begin {cases}\displaystyle-\Big (ab\int …

In the present manuscript, we focus on a novel tri-nonlocal Kirchhoff problem, which involves
the $ p (x) $-fractional Laplacian equations of variable order. The problem is stated as …