Results 81 to 90 of about 20,082 (264)
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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On critical points of p harmonic functions in the plane
Electronic 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
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.
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On Compactness Conditions for the $p$-Laplacian
Communications on Pure and Applied Analysis, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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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
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A Concentration Phenomenon for p-Laplacian Equation
Journal of Applied Mathematics, 2014 It is proved that if the bounded function of coefficient Qn in the following equation -div {|∇u|p-2∇u}+V(x)|u|p-2u=Qn(x)|u|q-2u, u(x)=0 as x∈∂Ω. u(x)⟶0 as |x|⟶∞ is positive in a region contained in Ω and negative outside the region, the sets {Qn ...
Yansheng Zhong
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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
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Towards a Mean‐Field Braginskii Model for Stellarators
Contributions to Plasma Physics, EarlyView.ABSTRACT Experiments in the stellarator Wendelstein 7‐X indicate that particle drifts have a significant impact on the plasma in the scrape‐off layer. However, drift effects have been absent in the mean‐field transport codes such as EMC3‐Eirene. For this reason, we present the first steps towards a mean‐field model that incorporates drifts. The code is
T. Tork +7 more
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