Results 41 to 50 of about 22,884,854 (275)

Oscillation criteria for elliptic systems [PDF]

Proceedings 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

Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems [PDF]

, 2014
For a family of second-order elliptic systems in divergence form with rapidly oscillating almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients.
Zhongwei Shen
semanticscholar   +1 more source

Quasilinear and singular elliptic systems

, 2013
In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results.
Giacomoni, Jacques, Hernández, Jesús, Sauvy, Paul   +2 more
core   +1 more source

A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains

Electronic Research Archive
In this paper, we prove the existence of solutions for an elliptic system. More precisely, we combine the potential theory with the sub-super solution method and use the properties of the well-known Kato class to justify our existence results.
Abdeljabbar Ghanmi , Hadeel Z. Alzumi, Noureddine Zeddini   +2 more
doaj   +1 more source

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

Advances 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

On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation

, 2006
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J, Buchberger B, Buchberger B, Conte R, Davenport J, Drouffe J-M, Erdélyi A, Eremenko A E, Fan E, Fan E, Gerdt V P, Ginzburg V L, Hone A N W, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A Demina M V, Landau L D, Nikitin A G Barannyk T A, Porubov A V, S Yu Vernov, Tabor M, Timoshkova E I, Timoshkova E I, Vernov S Yu, Vernov S Yu, Vernov S Yu Ganzha V G Mayr E W Vorozhtsov E V, von Hurwitz A   +29 more
core   +1 more source

Hamiltonian elliptic systems: a guide to variational frameworks [PDF]

, 2014
Consider a Hamiltonian elliptic system of type 8 < : u = Hv(u;v) in v = Hu(u;v) in u;v = 0 on @ where H is a power-type nonlinearity, for instance H(u;v) =juj p+1 =(p + 1) +jvj q+1 =(q + 1); having subcritical growth, and is a bounded domain of R N , N 1.
D. Bonheure, E. M. Santos, H. Tavares
semanticscholar   +1 more source

Hyperelliptic Integrable Systems on K3 and Rational Surfaces

, 2000
We show several examples of integrable systems related to special K3 and rational surfaces (e.g., an elliptic K3 surface, a K3 surface given by a double covering of the projective plane, a rational elliptic surface, etc.).
Adams, Adams, Adams, Adler, Beauville, de Boer, Donagi, Fock, Ganor, Gorsky, Gorsky, Hitchin, Hitchin, Hurtubise, Kanehisa Takasaki, Moser, Moser, Mukai, Nakatsu, Neumann, Reiman, Reiman, Sklyanin, Witten   +23 more
core   +1 more source

Existence and Non-Existence Results for Nonlocal Elliptic Systems via Sub-Supersolution Method

, 2016
In this paper, using a sub-supersolution argument, we prove an existence result on a positive weak solution for a class of nonlocal elliptic systems in bounded domains.
G. Afrouzi, N. T. Chung, S. Shakeri
semanticscholar   +1 more source

Petrovskii elliptic systems in the extended Sobolev scale [PDF]

, 2014
Petrovskii elliptic systems of linear differential equations given on a closed smooth manifold are investigated in the extended Sobolev scale. This scale consists of all Hilbert spaces that are interpolation spaces with respect to the Hilbert Sobolev ...
T. Zinchenko, A. Murach
semanticscholar   +1 more source