Results 11 to 20 of about 1,287,838 (292)
𝐿∞-Solutions for Some Nonlinear Degenerate Elliptic Equations [PDF]
International Journal of Differential Equations, 2011 We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations −∑𝑛𝑗=1𝐷𝑗[𝜔2(𝑥)𝒜𝑗(𝑥,𝑢,∇𝑢)]+𝜔1(𝑥)𝑔(𝑥,𝑢(𝑥))+𝐻(𝑥,𝑢,∇𝑢)𝜔2(𝑥)=𝑓(𝑥),onΩ in the setting of the weighted Sobolev spaces W01,𝑝(Ω,𝜔1,𝜔2)
Albo Carlos Cavalheiro
doaj +2 more sources
Strongly interacting bumps for the schrodinger-newton equations [PDF]
, 2009 We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
core +6 more sources
Sequential and continuum bifurcations in degenerate elliptic equations [PDF]
, 2004 We examine the bifurcations to positive and sign-changing solutions of degenerate elliptic equations. In the problems we study, which do not represent Fredholm operators, we show that there is a critical parameter value at which an infinity of ...
Beardmore, R. E., Laister, Robert
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Regularity properties of degenerate convolution-elliptic equations [PDF]
, 2016 The coercive properties of degenerate abstract convolution-elliptic equations are investigated. Here we find sufficient conditions that guarantee the separability of these problems in Lp spaces.
Shakhmurov, Veli B. +4 more
core +3 more sources
An approximation theorem for solutions of degenerate semilinear elliptic equations [PDF]
, 2017 The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Albo Carlos Cavalheiro +1 more
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
, 2010 A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
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A Class Of Elliptic Equations with Interior Degeneration [PDF]
Journal of Mathematical Imaging and Vision, 2016 A class of linear degenerate elliptic equations inspired by nonlinear diffusions of image processing is considered. It is characterized by an interior degeneration of the diffusion coefficient. It is shown that no particularly natural, unique interpretation of the equation is possible.
openaire +4 more sources
Generalized Keller-Osserman Conditions for Fully Nonlinear Degenerate Elliptic Equations
Современная математика: Фундаментальные направления, 2018 We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller ...
I Capuzzo Dolcetta, F Leoni, A Vitolo
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Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
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Nonlinear degenerate elliptic equations with measure data [PDF]
, 2007 summary:In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., {\it On the existence of solutions to non-linear
Li, Fengquan
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