Chapter 1 Semilinear Elliptic Systems: Existence, Multiplicity, Symmetry Of Solutions [PDF]
, 2015 [No abstract available]5148Alves, C.O., de Morais Filho, D.C., Souto, M.A.S., On systems of elliptic equations involving subcritical and critical Sobolev exponents (2000) Nonlinear Anal., 42, pp.
de Figueiredo D.G.
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Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations [PDF]
, 2020 In this paper we present a general extrapolated elliptic regularity result for second order differential operators in divergence form on fractional Sobolev-type spaces of negative order Xs-1,qD(Ω) for s > 0 small, including mixed boundary conditions and ...
Meinlschmidt, Hannes, Rehberg, Joachim
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Quasilinear elliptic systems in divergence form associated to general nonlinearities
Advances in Nonlinear Analysis, 2018 The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
, 2012 We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
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Abstract and Applied Analysis, 2012 We study the solvability of Dirichlet and Neumann problems for different classes of nonlinear elliptic systems depending on parameters and with nonmonotone operators, using existence theorems related to a general system of variational equations in a ...
Luisa Toscano, Speranza Toscano
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Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps [PDF]
, 2014 We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic families of area-preserving maps. We also derive a simplified normal form for a generic two-
Gelfreikh, Natalia, Gelfreich, Vassili
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(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
Journal of High Energy Physics, 2018 We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody U q g ^ k $$ {U}_q{\left(\widehat{\mathfrak{g}}\right)}_k $$ to generic quantum toroidal algebras.
Hidetoshi Awata +5 more
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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A boundary value problem for the wave equation
International Journal of Mathematics and Mathematical Sciences, 1999 Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate
Nezam Iraniparast
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Some estimates for elliptic systems generalizing the Bitsadze system of equations
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie NaukiThis article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector function. The system was analyzed in the Banach space of vector functions that are bounded and uniformly H¨
S. Baizaev, R. N. Barotov
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