Results 221 to 230 of about 22,884,854 (275)
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A Lyapunov Lemma for Elliptic Systems

Annals of Global Analysis and Geometry, 2004
The authors of this very well written article prove an interesting result within the functional calculus of classical pseudo-differential operators. More precisely, they fix an \(N\times N\) system \(A\) of classical pseudo-differential operators of order \(\leq m\) on a compact smooth manifold and they assume that \(A\) is elliptic.
PARENTI, CESARE, PARMEGGIANI, ALBERTO
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Asymptotics for Semilinear Elliptic Systems

Canadian Mathematical Bulletin, 1991
AbstractA class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞.
Noussair, Ezzat S., Swanson, Charles A.
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Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing

Nonlinearity, 2019
This paper deals with a Keller–Segel type parabolic–elliptic system involving nonlinear diffusion and chemotaxis in a smoothly bounded domain , , under no-flux boundary conditions.
Jaewook Ahn, Changwook Yoon
semanticscholar   +1 more source

Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems

Archive for Rational Mechanics and Analysis, 2013
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Alexandre Montaru   +2 more
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The attractor of a parabolic–elliptic system

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Domain Decomposition for Elliptic Systems

Journal of Dynamics and Differential Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Oscillation of Elliptic Systems

Mathematische Nachrichten, 1980
Etgen, Garret J., Lewis, Roger T.
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A nonlinear elliptic system

Applicable Analysis, 1993
This paper considers a nonliner elliptic system which models a temperature dependent electrical resistor in the steady—state case. The system includes two coupled nonlinear differential equations describing, respectively, the conservations of energy and current flow.
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Multiple positive solutions for a class of quasilinear singular elliptic systems

Rendiconti del Circolo Matematico di Palermo Series 2, 2019
C. O. Alves, Abdelkrim Moussaoui
semanticscholar   +1 more source

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