Results 81 to 90 of about 19,135,649 (331)
Localized and Extended Phases in Square Moiré Patterns
Annalen der Physik, EarlyView.Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero +2 more
wiley +1 more source
A Variational Characterisation of the Second Eigenvalue of the p-Laplacian on Quasi Open Sets [PDF]
, 2018 In this article, we prove a minimax characterization of the second eigenvalue of the p-Laplacian operator on p-quasi-open sets, using a construction based on minimizing movements. This leads also to an existence theorem for spectral functionals depending on the first two eigenvalues of the p-Laplacian.
arxiv +1 more source
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
core +1 more source
Strongly nonlinear elliptic problem without growth condition
Electronic Journal of Differential Equations, 2002 We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity.
Aomar Anane, Omar Chakrone
doaj
Resonant mixed fractional-order p-Laplacian boundary value problem on the half-line
Nonautonomous Dynamical Systems, 2021 This study aims at establishing the solvability of a fractional-order p-Laplacian boundary value problem involving both the left Caputo and right Riemann-Liouville fractional derivatives on the half-line.
Imaga O. F., Iyase S. A., Odekina O. G.
doaj +1 more source
Positive solutions to boundary value problems of p-Laplacian with fractional derivative
Boundary Value Problems, 2017 In this article, we consider the following boundary value problem of nonlinear fractional differential equation with p-Laplacian operator: Dα(ϕp(Dαu(t)))=f(t,u(t ...
Xiaoyu Dong, Zhanbing Bai, Shuqin Zhang
semanticscholar +1 more source
Global branching for discontinuous problems involving the p-Laplacian
Electronic Journal of Differential Equations, 2013 In this article, we study elliptic problems with discontinuous nonlinearities involving the p-Laplacian both in bounded and unbounded domains. We prove that there exists a global branch of positive solutions under some suitable assumptions of the ...
Guowei Dai, Ruyun Ma
doaj
A Hopf's Lemma and the Boundary Regularity for the Fractional P-Laplacian [PDF]
arXiv, 2017 We begin the paper with a Hopf's lemma for a fractional p-Laplacian problem on a half-space. Specifically speaking, we show that the derivative of the solution along the outward normal vector is strictly positive on the boundary of the half-space.
arxiv
Critical fractional $p$-Laplacian problems with possibly vanishing potentials
, 2015 We obtain nontrivial solutions of a critical fractional $p$-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev ...
Perera, Kanishka +2 more
core +1 more source
Existence of solutions for a nonlinear problem at resonance
Demonstratio Mathematica, 2022 In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.
Haddaoui Mustapha +3 more
doaj +1 more source