Results 301 to 310 of about 176,343 (312)
Overdetermined Elliptic Systems [PDF]
Foundations of Computational Mathematics, 2005 We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the definition of ellipticity is not necessary, as any system that is elliptic with respect to some weights becomes elliptic without weights during its completion to involution.
Werner M. Seiler +2 more
openaire +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
A Lyapunov Lemma for Elliptic Systems
Annals of Global Analysis and Geometry, 2004We study a possible extension to the infinite-dimensional case of the classicalLyapunov lemma for matrices. More precisely, for a fixed elliptic system A ofdifferential operators of order m, we consider the operator equationTA + A*T = Q, where Q is any given classical pseudodifferential system oforder m, and T is sought as a classical ...
PARENTI, CESARE, PARMEGGIANI, ALBERTO
openaire +3 more sources
2018
This chapter is devoted to the study of systems of nonlinear elliptic equations taking into account their internal structure. Separately, the study concerns systems fully depending on the gradient of the solutions, systems that are subject to the method of subsolution–supersolution which in the case of systems takes a special form, and systems with a ...
Dumitru Motreanu, Siegfried Carl
openaire +2 more sources
This chapter is devoted to the study of systems of nonlinear elliptic equations taking into account their internal structure. Separately, the study concerns systems fully depending on the gradient of the solutions, systems that are subject to the method of subsolution–supersolution which in the case of systems takes a special form, and systems with a ...
Dumitru Motreanu, Siegfried Carl
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
2017
We saw, in Chap. 6, how the finite element method may be applied to systems of ordinary differential equations. Then, in Chaps. 7– 11, we saw how to apply the finite element method to elliptic partial differential equations, using a variety of meshes and basis functions. In this chapter, we combine this material, allowing us to apply the finite element
openaire +2 more sources
We saw, in Chap. 6, how the finite element method may be applied to systems of ordinary differential equations. Then, in Chaps. 7– 11, we saw how to apply the finite element method to elliptic partial differential equations, using a variety of meshes and basis functions. In this chapter, we combine this material, allowing us to apply the finite element
openaire +2 more sources
Bifurcation in Elliptic Systems
1987In this paper we shall examine bifurcations which occur in the semilinear elliptic system $$\eqalign{ & \Delta {\text{u}}\, +,\lambda (u + {\text{u}}\left| {\text{u}} \right|^{{\text{p - 1}}} ) = 0, \cr & {\text{u|}}\partial {\text{B}}\,=0, \cr} $$ (1.1) where B is the unit ball in the space ℝ3.
openaire +2 more sources
Systems with Elliptical Pupils
2013The pupil of a human eye is slightly elliptical [1]. The pupil for off-axis imaging by a system with an axial circular pupil may be vignetted, but can be approximated by an ellipse. When a flat mirror is tested by shining a circular beam on it at some angle (other than normal incidence), the illuminated spot is elliptical. Similarly, the overlap region
openaire +2 more sources
2012
We present a maximum principle of W. Jager for the H-surface system in Section 1. Then we prove the fundamental gradient estimate of E. Heinz for nonlinear elliptic systems of differential equations in Section 2. Global estimates are established in Section 3.
openaire +2 more sources
We present a maximum principle of W. Jager for the H-surface system in Section 1. Then we prove the fundamental gradient estimate of E. Heinz for nonlinear elliptic systems of differential equations in Section 2. Global estimates are established in Section 3.
openaire +2 more sources
On symmetry in elliptic systems
Applicable Analysis, 1991We prove symmetry of positive solutions of quasimonotone elliptic systems. We show by counterexamples that quasimonotonicity of the systems and positivity of solutions are necessary for solutions to be symmetric. We consider solutions in both bounded domains and in the entire space.
openaire +2 more sources
The Oscillation of Elliptic Systems
Mathematische Nachrichten, 1980Garret J. Etgen +2 more
openaire +2 more sources