Results 41 to 50 of about 19,135,649 (331)

Generalized Laplacian Regularized Framelet Graph Neural Networks [PDF]

arXiv, 2022
This paper introduces a novel Framelet Graph approach based on p-Laplacian GNN. The proposed two models, named p-Laplacian undecimated framelet graph convolution (pL-UFG) and generalized p-Laplacian undecimated framelet graph convolution (pL-fUFG) inherit the nature of p-Laplacian with the expressive power of multi-resolution decomposition of graph ...
arxiv  

Improved Approach for Studying Oscillatory Properties of Fourth-Order Advanced Differential Equations with p-Laplacian Like Operator

, 2020
This paper aims to study the oscillatory properties of fourth-order advanced differential equations with p-Laplacian like operator. By using the technique of Riccati transformation and the theory of comparison with first-order delay equations, we will ...
O. Bazighifan, T. Abdeljawad
semanticscholar   +1 more source

The second eigenvalue of the fractional $p-$Laplacian [PDF]

, 2015
We consider the eigenvalue problem for the {\it fractional $p-$Laplacian} in an open bounded, possibly disconnected set $\Omega \subset \mathbb{R}^n$, under homogeneous Dirichlet boundary conditions.
Brasco, Lorenzo, Parini, Enea
core   +3 more sources

A p-Laplacian supercritical Neumann problem

, 2016
For $p>2$, we consider the quasilinear equation $-\Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $\mathbb R^N$, with homogeneous Neumann boundary conditions.
Colasuonno, Francesca, Noris, Benedetta
core   +1 more source

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

Advances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy, ut(x,t)+(−Δ)psu(x,t)=f(u(x,t)),x∈Ω,t>0, $$\begin{array}{} \displaystyle u_t(x,t) + (-{\it\Delta})_p^s u(x,t) = f(u(x,t)), \quad x\in {\it\Omega}, \,t \gt
Menglan Liao, Qiang Liu, Hailong Ye
semanticscholar   +1 more source

Positive Solutions for a Class of p-Laplacian Hadamard Fractional-Order Three-Point Boundary Value Problems

Mathematics, 2020
In this paper, using the Avery–Henderson fixed point theorem and the monotone iterative technique, we investigate the existence of positive solutions for a class of p-Laplacian Hadamard fractional-order three-point boundary value problems.
Jiafa Xu, Jiqiang Jiang, D. O’Regan
semanticscholar   +1 more source

The Soap Bubble Theorem and a $p$-Laplacian overdetermined problem [PDF]

, 2019
We consider the $p$-Laplacian equation $-\Delta_p u=1$ for ...
Colasuonno, Francesca, Ferrari, Fausto
core   +2 more sources

Nonexistence of global positive solutions for p-Laplacian equations with non-linear memory [PDF]

arXiv, 2021
The Cauchy problem in $\mathbb{R}^d,$ $d\geq 1,$ for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the test function method is obtained.
arxiv  

Near‐Zero Thermal Expansion in Coordination Polymer Cd(1,2,4‐Triazole)2(H2PO4)2

Angewandte Chemie, EarlyView.
The structural dynamics and the chemical bonding origin of a volumetric near‐zero thermal expansion in a coordination polymer across 25 K to 400 K is studied using multi‐temperature X‐ray crystallography and X‐ray electron density analysis. The lattice expansion in the a and c directions is counteracted by contraction along b axis, caused by concerted ...
Sounak Sarkar, Bo Brummerstedt Iversen
wiley   +2 more sources

On a parabolic p-Laplacian system with a convective term [PDF]

arXiv, 2023
We prove a result of existence of regular solutions and a maximum principle for solutions to a parabolic p-Laplacian system with convective term.
arxiv