Results 321 to 330 of about 22,597,145 (371)

Sublinear elliptic systems with a convection term

, 2020
In this paper, we study existence and properties of solutions for some nonlinear elliptic systems like The above Dirichlet problem is related to evolution systems connected with the mathematical study of partial differential equations models for ...
L. Boccardo, L. Orsina
semanticscholar   +1 more source

Nonzero positive solutions of nonlocal elliptic systems with functional BCs

Journal of Elliptic and Parabolic Equations, 2019
We discuss the existence and non-existence of non-negative weak solutions for second order nonlocal elliptic systems subject to functional boundary conditions.
G. Infante
semanticscholar   +1 more source

On the C1 regularity of solutions to divergence form elliptic systems with dini-continuous coefficients

Chinese Annals of Mathematics. Series B, 2016
The author proves C1 regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients.
Yanyan Li
semanticscholar   +1 more source

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
openaire   +3 more sources

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

Elliptic systems in exterior domains

ANNALI DELL UNIVERSITA DI FERRARA, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
STARITA, Giulio, BENOUAR N.
openaire   +4 more sources

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, B. Sirakov, P. Souplet   +2 more
semanticscholar   +1 more source

Stability of the solutions of elliptic systems [PDF]

Functional Analysis and Its Applications, 1986
The author formulates the assertion that the global proximity of f to \({\mathfrak O}\) follows from its local proximity. Here \({\mathfrak O}\) is a pencil of solutions of a first order homogeneous elliptic system with constant coefficients.
openaire   +2 more sources

Nonlinear Elliptic Systems

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

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.
openaire   +2 more sources