Results 91 to 100 of about 462,455 (351)
On semilinear elliptic equations with global coupling [PDF]
arXiv, 2008 We consider nonlinear elliptic equations which contains global coupling as a nonlinear term. We classify the existence of all possible positive solutions to this problem.
arxiv
Multiscale Finite Element Methods for Nonlinear Problems and their Applications [PDF]
, 2004 In this paper we propose a generalization of multiscale finite element methods (Ms-FEM) to nonlinear problems. We study the convergence of the proposed method for nonlinear elliptic equations and propose an oversampling technique.
Efendiev, Y., Ginting, V., Hou, T. Y.
core
Electrically Tunable Momentum Space Polarization Singularities in Liquid Crystal Microcavities
Advanced Science, EarlyView.Using a highly birefringent material embedded in a liquid crystal microcavity, the Rashba‐Dresselhaus resonance is obtained. In this regime, polarization singularities, known as C‐points, are observed in momentum space. The positions of these singularities can be modified by applying an external voltage to the sample.
Przemysław Oliwa +12 more
wiley +1 more source
Nonclassical Solutions of Fully Nonlinear Elliptic Equations [PDF]
Geom. Func. An. 17 (2007), 1283-1296, 2009 We prove the existence of non-smooth solutions to fully nonlinear uniformly elliptic equations.
arxiv
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
Journal of the European Mathematical Society, 2007 We study existence and asymptotic properties of solutions to a semilinear elliptic equation in the whole space. The equation has a cylindrical symmetry and we find cylindrical solutions. The main features of the problem are that the potential has a large set of singularities (i.e. a subspace), and that the nonlinearity has a double power-like behaviour,
BADIALE, Marino, V. Benci, S. Rolando
openaire +6 more sources
Wonders of Harbor and Grey Seal Whiskers: Morphology, Natural Frequencies, and 3D Modeling
Advanced Science, EarlyView.Seals detect prey by sensing vortices using whiskers. How whisker morphologies and locations respond to hydrodynamic signals across various frequencies remains unclear. This study measures whiskers’ natural frequencies and morphologies and maps them to whisker locations on the muzzle, providing insights into how seals interpret hydrodynamic signals ...
Xingwen Zheng +4 more
wiley +1 more source
Borderline estimates for fully nonlinear elliptic equations [PDF]
arXiv, 2012 We prove new borderline regularity results for solutions to fully nonlinear elliptic equations together with pointwise gradient potential estimates.
arxiv
Positive solutions of nonlinear elliptic equations
Applied Mathematics Letters, 2008 AbstractThis work deals with the existence of positive solutions of convection–diffusion equations Δu+f(x,u,∇u)=0 in an exterior domain of Rn(n≥3).
Wang, S.P., Yeh, C.C., Wong, F.H.
openaire +3 more sources
Advanced Science, EarlyView.This study, for the first time, highlights the marvelous effect of mechanical vibration on the performance of lithium metal batteries. The authors demonstrate that vibration enhances the performance of lithium metal anodes through a synergistic effect: surface flattening at the macroscale and the formation of an interfacial layer that facilitates fast ...
Taeksoo Jung +6 more
wiley +1 more source
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
doaj +1 more source