Results 41 to 50 of about 36,100 (302)

A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]

, 2016
We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
core   +1 more source

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source

On fractional $p$-Laplacian problems with weight

Differential and Integral Equations, 2015
10 ...
Lehrer, R., Maia, L., Squassina, Marco
openaire   +5 more sources

The one-phase bifurcation for the p-Laplacian [PDF]

Journal of Differential Equations, 2019
A bifurcation about the uniqueness of a solution of a singularly perturbed free boundary problem of phase transition associated with the p-Laplacian, subject to given boundary condition is proved in this paper. We show this phenomenon by proving the existence of a third solution through the Mountain Pass Lemma when the boundary data decreases below a ...
Alaa Akram Haj Ali, Peiyong Wang
openaire   +3 more sources

A semi-Lagrangian scheme for the game $p$-Laplacian via $p$-averaging

, 2013
We present and analyze an approximation scheme for the two-dimensional game $p$-Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian scheme which exploits the idea of $p$-averages.
Falcone, M., Giorgi, T., Smits, R. G., Vita, S. Finzi   +3 more
core   +1 more source

Experimental and Theoretical Confirmation of Covalent Bonding in α‐Pu

Advanced Functional Materials, EarlyView.
From a combination of Reverse Monte Carlo dynamic rigid body fitting to the pair distribution functional and novel density functional approaches, the existence of covalent bonding is confirmed in α‐plutonium alongside other bonding types (i.e. mixed bonding schemes).
Alexander R. Muñoz, Matthew S. Cook, David C. Arellano, AM Milinda Abeykoon, Jeremy N. Mitchell, Sarah C. Hernandez, Eric D. Bauer, Christopher A. Mizzi, Boris Maiorov, Neil Harrison, W. Adam Phelan   +10 more
wiley   +1 more source

Enhancing the Photocatalytic Performance of Carbon Nitrides Through Controlled Local Structure Modification

Advanced Functional Materials, EarlyView.
This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova, Hannes Zschiesche, Alexander P. Tyutyunnik, Erik Svensson Grape, Caio Vinícius C. R. da Silva, Walber G. Guimarães Junior, Andre. F. de Moura, Izadora F. Reis, Gabriel Ali A. Diab, José Balena G. Filho, Ivo F. Teixeira, Nadezda V. Tarakina   +11 more
wiley   +1 more source

Periodic solutions for nonlocal p(t) $p(t)$-Laplacian systems

Boundary Value Problems, 2019
The purpose of this paper is to investigate the existence of periodic solutions for a class of nonlocal p(t) $p(t)$-Laplacian systems. When the nonlinear term is p+ $p^{+}$-superlinear at infinity, some new solvability conditions of nontrivial periodic ...
Shengui Zhang
doaj   +1 more source

Homological eigenvalues of graph p-Laplacians

Journal of Topology and Analysis, 2023
Inspired by persistent homology in topological data analysis, we introduce the homological eigenvalues of the graph [Formula: see text]-Laplacian [Formula: see text], which allows us to analyze and classify non-variational eigenvalues. We show the stability of homological eigenvalues, and we prove that for any homological eigenvalue [Formula: see text]
openaire   +2 more sources

A problem involving the p-Laplacian operator [PDF]

Differential Equations & Applications, 2017
Using a variational technique we guarantee the existence of a solution to the \emph{resonant Lane-Emden} problem $- _p u= |u|^{q-2}u$, $u|_{\partial }=0$ if and only if a solution to $- _p u= |u|^{q-2}u+f$, $u|_{\partial }=0$, $f\in L^{p'}( )$ ($p'$ being the conjugate of $p$), exists for $q\in (1,p)\bigcup (p,p^{*})$ under a certain condition ...
Ratan Kr. Giri, Debajyoti Choudhuri
openaire   +3 more sources