Results 91 to 100 of about 24,018,000 (299)

Uniqueness and stability of solutions without the boundary condition

open access: yesBoundary Value Problems, 2019
A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
doaj   +1 more source

On structural controllability in complex networks with periodic switching topologies

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou   +3 more
wiley   +1 more source

A Weyl law for the p-Laplacian

open access: yesJournal of Functional Analysis
We show that a Weyl law holds for the variational spectrum of the $p$-Laplacian. More precisely, let $(λ_i)_{i=1}^\infty$ be the variational spectrum of $Δ_p$ on a closed Riemannian manifold $(X,g)$ and let $N(λ) = \#\{i:\, λ_i < λ\}$ be the associated counting function. Then we have a Weyl law $N(λ) \sim c \operatorname{vol}(X) λ^{n/p}$.
openaire   +2 more sources

The graph p-Laplacian eigenvalue problem [PDF]

open access: yes, 2023
In this thesis we discuss the graph p-Laplacian eigenvalue problem. In particular, after reviewing the state of the art, we present new results on the nodal domain count of the p-Laplacian eigenpairs, on the graph infinity-Laplacian eigenproblem, and on ...
DEIDDA, PIERO
core  

From Charge‐Transfer Adducts to (Tri)Halide‐Templated Supramolecular Cages: Covalent vs Ionic Products in the Reactions of Pyridin‐4‐ylthio‐Substituted Tetrathiafulvalene With Dihalogens and Interhalogens

open access: yesChemistry – A European Journal, EarlyView.
The reactions between tetra(pyridin‐4‐ylthio)tetrathiafulvalene and Br2/I2/ICl/IBr led to a variety of products, including a rare example of neutral 1:4 CT adduct and ionic products showing supramolecular cage motifs at (tri)halide templates. The nature of the reaction products was elucidated based on XRD analysis, Raman spectroscopy and QTAIM, NCI ...
Anna Caria   +6 more
wiley   +1 more source

Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan   +3 more
wiley   +1 more source

On critical points of p harmonic functions in the plane

open access: yesElectronic Journal of Differential Equations, 1994
$ 1 < p < infty $, in the unit disk and equal to a polynomial $ P $ of positive degree on the boundary of this disk, then $ abla u $ has at most deg$P - 1$ zeros in the unit disk.
John L. Lewis
doaj  

On Compactness Conditions for the $p$-Laplacian

open access: yesCommunications on Pure and Applied Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Eigenvalues for a nonlocal pseudo $p-$Laplacian

open access: yesDiscrete and Continuous Dynamical Systems, 2016
In this paper we study the eigenvalue problems for a nonlocal operator of order $s$ that is analogous to the local pseudo $p-$Laplacian. We show that there is a sequence of eigenvalues $λ_n \to \infty$ and that the first one is positive, simple, isolated and has a positive and bounded associated eigenfunction.
del Pezzo, Leandro Martin   +1 more
openaire   +4 more sources

Extremal p -Laplacian eigenvalues

open access: yes, 2019
We study the shape optimization problem of variational Dirichlet and Neumann p-Laplacian eigenvalues, with area and perimeter constraints. We prove some results that characterize the optimizers and derive the formula for the Hadamard shape derivative of ...
Antunes, Pedro R. S.
core   +1 more source

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