Results 21 to 30 of about 22,129,127 (338)
Existence results for a class of (p,q) Laplacian systems
Nonlinear Analysis, 2010 . We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: −∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f in Ω, −∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g in Ω, (u,v) ∈ W01,p ...
G. A. Afrouzi, M. Mirzapour
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Degenerate Elliptic Systems [PDF]
Rocky Mountain Journal of Mathematics, 2005 We solve the Riemann-Hilbert boundary value problem for a linearly elliptic system of two second order differential equations in a simply connected domain in the plane, which is degenerate on the whole boundary of the domain and reduced to a simple (canonical) form, whose characteristic equation has simple roots (to within low order terms).
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on the fucik spectrum for elliptic systems [PDF]
Topological Methods in Nonlinear Analysis, 2006 We propose an extension of the concept of Fucik spectrum to the case of coupled systems of two elliptic equations, we study its structure and some applications. We show that near a simple eigenvalue of the system, the Fucik spectrum consists (after a suitable reparametrization) of two (maybe coincident) 2-dimensional surfaces.
E. Massa, B.Ruf
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Elliptic systems and material interpenetration
Functiones et Approximatio Commentarii Mathematici, 2009 We classify the second order, linear, two by two systems for which the two fundamental theorems for planar harmonic mappings, the Rado'-Kneser-Choquet Theorem and the H. Lewy Theorem, hold. They are those which, up to a linear change of variable, can be written in diagonal form with the same operator on both diagonal blocks.
Giovanni Alessandrini, NESI, Vincenzo
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Noncooperative elliptic systems [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2010 We show how monotonicity methods combined with infinite dimensional sandwich pairs can be used to solve very general systems of equations that are not semibounded.
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Einstein-Type Elliptic Systems
Annales Henri Poincaré, 2022 In this paper we analyse semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with realistic physical fields on asymptotically Euclidean (AE) manifolds. In particular, electromagnetic fields give rise to this kind of system.
Rodrigo Avalos, Jorge H. Lira
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Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings [PDF]
, 2016 A bstractWe consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for refined topological vertex, i.e.
A. Mironov +4 more
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, 2006 In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
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What is the complexity of elliptic systems?
Journal of Approximation Theory, 1985 This paper deals with the optimal solution of the Petrovsky-elliptic system lu = f, where l is of homogeneous order t and f (x) ∈ H (Ω).Of particular interest is the strength of finite element information (FEI) of degree k, as well as the quality of the finite element method (FEM) using this information.
Arthur G. Werschulz, Arthur G. Werschulz
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Coercive elliptic systems with gradient terms
Advances in Nonlinear Analysis, 2017 In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
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