Results 21 to 30 of about 9,197 (167)

Degenerate Elliptic Systems

open access: yesRocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Existence and multiplicity of solutions for a class of superlinear elliptic systems

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
doaj   +1 more source

EQUIVALENCE OF THE FREDHOLM SOLVABILITY CONDITION FOR THE NEUMANN PROBLEM TO THE COMPLEMENTARITY CONDITION

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
doaj   +1 more source

Oscillation criteria for elliptic systems [PDF]

open access: yesProceedings of the American Mathematical Society, 1971
Oscillation criteria are established for quasilinear elliptic partial differential systems of second order in unbounded domains of Euclidean space. The main departures from earlier investigations are: (1) systems of partial differential equations are considered; (2) the equations are nonlinear; (3) the matrices involved are not required to be positive ...
Allegretto, W., Swanson, C. A.
openaire   +2 more sources

Multidimensional analogues of the Riemann–Hilbert boundary value problem

open access: yesMathematical Modelling and Analysis, 2007
Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.
Eugenijus Paliokas
doaj   +1 more source

On a Class of Reversible Elliptic Systems

open access: yesAdvanced Nonlinear Studies, 2012
Abstract For a semilinear elliptic system of PDE’s which is spatially reversible, we establish the existence of solutions in C 2 (ℝ 2 × T n−2 , ℝ m ) that ...
openaire   +2 more sources

An Elliptic System with Degenerate Coercivity

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2015
Rendiconti di Matematica, 2015 ...
BOCCARDO, Lucio   +2 more
openaire   +4 more sources

Constructive Solution of Ellipticity Problem for the First Order Differential System

open access: yesМоделирование и анализ информационных систем, 2017
We built first order elliptic systems with any possible number of unknown functions and the maximum possible number of unknowns, i.e, in general. These systems provide the basis for studying the properties of any first order elliptic systems.
Vladimir E. Balabaev
doaj   +1 more source

Canonical System on Elliptic Curves [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).
openaire   +1 more source

Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary

open access: yesElectronic Journal of Differential Equations, 2006
We consider variational solutions to the Dirichlet problem for elliptic systems of arbitrary order. It is assumed that the coefficients of the principal part of the system have small, in an integral sense, local oscillations near a boundary point and
Vladimir Kozlov
doaj  

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