Results 31 to 40 of about 36,594 (305)
Limit of p-Laplacian Obstacle problems
, 2020 In this paper we study asymptotic behavior of solutions of obstacle problems for $p-$Laplacians as $p\to \infty.$ For the one-dimensional case and for the radial case, we give an explicit expression of the limit.
Capitanelli, Raffaela +1 more
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The principal eigencurve for the $p$-Laplacian
Differential and Integral Equations, 1995 The authors study the principal eigencurve \(\mu= \mu(\lambda)\) of the 2 parameter nonlinear eigenvalue problem \[ -\text{div} (| \nabla u|^{p-2} \nabla u)+ a(x)| u|^{p-2} u-\lambda m(x)| u|^{p-2}u= \mu| u|^{p-2} u \text{ in } \Omega, \quad u=0 \text{ on } \partial\Omega.
Binding, P. A., Huang, Y. X.
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The dual eigenvalue problems for p-Laplacian [PDF]
Acta Mathematica Hungarica, 2013 19 ...
Cheng, Yan-Hsiou +2 more
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A p-Laplacian supercritical Neumann problem
, 2016 For $p>2$, we consider the quasilinear equation $-\Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $\mathbb R^N$, with homogeneous Neumann boundary conditions.
Colasuonno, Francesca, Noris, Benedetta
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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 ...
Giri, Ratan Kr., Choudhuri, D.
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The spectrum of the periodic p-Laplacian
Journal of Differential Equations, 2007 New properties of the spectrum \(\sigma\) are determined for the boundary value problems {\parindent6.5mm \begin{itemize}\item[(i)] \(-\Delta_p u= (\lambda- q(x))|u|^{p-1}\text{sgn\,}u\), \(p> 1\), \(x\in(0,\pi_p)\) with periodic boundary conditions \item[(ii)] \(u(0)= u(\pi_p)\), \(u'(0)= u'(\pi_p)\), \(q(x)\in C^1[0,\pi_p]\), \(\lambda\in \mathbb R\),
Binding, Paul A., Rynne, Bryan P.
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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
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Promoting Electrochemical Reactions with Dual‐Atom Catalysts for High‐Rate Lithium–Sulfur Batteries
Advanced Materials, EarlyView.A scalable strategy for synthesizing transition metal–bismuth atomic pairs on carbon nitride to accelerate sulfur redox reactions in lithium–sulfur batteries is presented. Nickel‐bismuth and cobatl‐bismuth catalysts improve rate performance by promoting direct electrochemical transitions and rapid Li2S nucleation, minimizing sulfur loss, and enhancing ...
Jing Yu +19 more
wiley +1 more source
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems
Journal of Inequalities and Applications, 2017 We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ).
Mohamed Jleli, Bessem Samet
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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. +3 more
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