Results 81 to 90 of about 18,879 (188)
On Compactness Conditions for the $p$-Laplacian
Communications 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
Discrete 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
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
Prüfer transformation for the \(p\)-Laplacian
Electronic Journal of Differential Equations, 2010 Summary: Prüfer transformation is a useful tool for studying second-order ordinary differential equations. There are many possible extensions of the original Prüfer transformation. We focus on a transformation suitable for study of boundary value problems for the \(p\)-Laplacian in the resonant case.
Jiri Benedikt, Petr Girg
openaire +2 more sources
Hypergraph p-Laplacians and Scale Spaces
Journal of Mathematical Imaging and VisionAbstractThe aim of this paper is to revisit the definition of differential operators on hypergraphs, which are a natural extension of graphs in systems based on interactions beyond pairs. In particular, we focus on the definition of Laplacian and p-Laplace operators for oriented and unoriented hypergraphs, their basic properties, variational structure,
Fazeny, Ariane +3 more
openaire +6 more sources
On structural controllability in complex networks with periodic switching topologies
Asian 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
Origin of the \(p\)-Laplacian and A. Missbach
Electronic Journal of Differential Equations, 2018 Summary: We describe the historical process of derivation of the \(p\)-Laplace operator from a nonlinear Darcy law and the continuity equation. The story begins with nonlinear flows in channels and ditches. As the nonlinear Darcy law we use the power law discovered by \textit{O.
Jiri Benedikt +3 more
openaire +2 more sources
SO2 Transfer Enabled by an Easy‐to‐Handle Ionic Liquid
Chemistry – A European Journal, EarlyView.Best of both worlds: The ionic liquid [NEt3Me][Cl(SO2)n] unites the atom economy and low cost of sulfur dioxide with the safety and applicability of common surrogates, streamlining SO2 transfer to access to 3‐sulfolenes, sulfonamides, and SuFEx reagents.
Johanna S. Sturm +11 more
wiley +1 more source
On a problem of lower limit in the study of nonresonance
Abstract and Applied Analysis, 1997 We prove the solvability of the Dirichlet problem {−Δpu=f(u)+h in Ω, u=0 on ∂Ω for every given h, under a condition involving only the asymptotic behaviour of the potential F of f with respect to the first ...
A. Anane, O. Chakrone
doaj +1 more source
On principal frequencies and inradius in convex sets
Bruno Pini Mathematical Analysis Seminar, 2018 We generalize to the case of the p-Laplacian an old result by Hersch and Protter. Namely, we show that it is possible to estimate from below the first eigenvalue of the Dirichlet p-Laplacian of a convex set in terms of its inradius. We also prove a lower
Lorenzo Brasco
doaj +1 more source