Results 21 to 30 of about 9,197 (167)
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Existence and multiplicity of solutions for a class of superlinear elliptic systems
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
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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
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Oscillation criteria for elliptic systems [PDF]
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.
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Multidimensional analogues of the Riemann–Hilbert boundary value problem
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
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On a Class of Reversible Elliptic Systems
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 ...
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An Elliptic System with Degenerate Coercivity
Rendiconti di Matematica, 2015 ...
BOCCARDO, Lucio +2 more
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Constructive Solution of Ellipticity Problem for the First Order Differential System
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
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Canonical System on Elliptic Curves [PDF]
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).
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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
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