Results 121 to 130 of about 19,228,694 (296)

Some class of nonlinear inequalities with gradient constraints in Orlicz spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
doaj   +1 more source

Are Noncovalent C─H⋯ Au Bonds Comparable to C─H⋯ π Bonds? A Theoretical Perspective

Chemistry – An Asian Journal, EarlyView.
In this study, the geometry and stability features as well as the physical nature of C─H···Au and C─H···π noncovalent complexes have been analyzed and compared at the PBE0‐D3/def2‐TZVP level of theory involving a series of alkanes and i) graphene and ii) an Au layer. Abstract Herein, we have theoretically studied and compared the physical nature of C─H·
Sergi Burguera, Antonio Bauzá
wiley   +1 more source

A Rado type theorem for p-harmonic functions in the plane

Electronic Journal of Differential Equations, 1994
$p$-Laplace equation $$ { m div}(|abla u|^{p-2}abla u)=0 $$ in $Omegasetminus {x :u(x)=0}$, then $u$ is a solution to the $p$-Laplacian in the whole $Omegasubset R^2$.
Tero Kilpelainen
doaj  

On a superlinear elliptic p-Laplacian equation

Journal of Differential Equations, 2004
The authors consider the quasilinear elliptic equation \[ -\Delta_p u= f(x,u),\quad u\in W^{1,p}_0(\Omega),\tag{1} \] on a bounded domain \(\Omega\subset \mathbb{R}^N\) with smooth boundary \(\partial\Omega\); here \(\Delta_p u=\text{div}(|\nabla u|^{p-2}\nabla u)\) is the \(p\)-Laplacian, \(p> 1\) and \(f:\overline\Omega\times \mathbb{R}\to \mathbb{R}\
Thomas Bartsch, Zhaoli Liu
openaire   +3 more sources

Linear Matrix Inequality‐based design of distributed proportional‐integral‐derivative for the output consensus tracking in heterogeneous high‐order multi‐agent systems

Asian Journal of Control, EarlyView.
Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui, Alberto Petrillo, Stefania Santini   +2 more
wiley   +1 more source

Eigenvalue Bounds for the Signless $p$-Laplacian

The Electronic Journal of Combinatorics, 2018
We consider the signless $p$-Laplacian $Q_p$ of a graph, a generalisation of the quadratic form of the signless Laplacian matrix (the case $p=2$). In analogy to Rayleigh's principle the minimum and maximum of $Q_p$ on the $p$-norm unit sphere are called its smallest and largest eigenvalues, respectively.
Elizandro Max Borba, Uwe Schwerdtfeger
openaire   +3 more sources

Adaptive event‐based asynchronous approach for containment control of Markov jump multi‐agent systems with hidden Markov models

Asian Journal of Control, EarlyView.
Abstract This paper focuses on the issue of adaptive event‐triggered containment control for Markov jump multi‐agent systems characterized by hidden Markov jump parameters. The central objective is to design an output‐feedback controller for the Markov jump multi‐agent system by using an adaptive event‐triggered technique that not only ensures the ...
Parivallal Arumugam, Oh‐Min Kwon, Sangwoon Yun, Yoon Mo Jung   +3 more
wiley   +1 more source

A Weyl law for the p-Laplacian

Journal of Functional Analysis
We show that a Weyl law holds for the variational spectrum of the $p$-Laplacian. More precisely, let $( _i)_{i=1}^\infty$ be the variational spectrum of $ _p$ on a closed Riemannian manifold $(X,g)$ and let $N( ) = \#\{i:\, _i < \}$ be the associated counting function.
openaire   +2 more sources

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian

Nonlinear Analysis, 2015
In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj   +1 more source