Abstract The purpose of this paper is mainly to investigate the existence of
entire solutions of the stationary Kirchhoff type equations driven by the
fractional p-Laplacian operator in ℝ N . By using variational methods and
topological degree theory, we prove multiplicity results depending on a real
parameter λ and under suitable general integrability properties of the ratio
between some powers o... hiện toàn bộ
AbstractIn this paper, we consider the following critical nonlocal
problem:\left\{\begin{aligned} &\displaystyle
M\bigg{(}\iint_{\mathbb{R}^{2N}}\frac{% \lvert u(x)-u(y)\rvert^{2}}{\lvert
x-y\rvert^{N+2s}}\,dx\,dy\biggr{)}(-\Delta)%
^{s}u=\frac{\lambda}{u^{\gamma}}+u^{2^{*}_{s}-1}&&\displaystyle\phantom{}\text%
{in }\Omega,\\ \displaystyle u&\displaystyle>0&&\displaystyle\phantom{}\text{in
}\Omega... hiện toàn bộ
Abstract In this paper, we consider the following Timoshenko system of
thermo-viscoelasticity of type III with frictional damping and delay terms: { ρ
1 φ t t - K ( φ x + ψ ) x = 0 , ( x , t ) ∈ ( 0 , 1 ) × ( 0 , ∞ ) , ρ 2
ψ t t - b ψ x x + K ( φ x + ψ ) + β θ x = 0 , ( x , t ) ∈ ( 0 , 1 ) ×
( 0 , ∞ ) , ρ 3 θ t t - δ θ x x + γ ψ t t x + ∫ 0 t g ( t - s )
θ x x... hiện toàn bộ
Abstract. Given a Carnot–Carathéodory space with associated frame of vector
fields , we derive the subelliptic ∞-Laplace system for mappings , which reads
in the limit of the subelliptic p-Laplacian as . Here is the horizontal gradient
and is the projection on its nullspace. Next, we identify the variational
principle characterizing the subelliptic ∞-Laplacian system, which is the
“Euler–Lagrange ... hiện toàn bộ