Results 31 to 40 of about 22,129,127 (338)

ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS

Проблемы анализа, 2019
We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
doaj   +1 more source

On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS

Advanced Nonlinear Studies, 2018
In this paper we analyze the Lane–Emden ...
do Ó João Marcos, Clemente Rodrigo
doaj   +1 more source

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

Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations

Lietuvos Matematikos Rinkinys, 2023
Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
doaj   +1 more source

The Dirichlet problem for elliptic systems with data in Köthe function spaces [PDF]

, 2014
We show that the boundedness of the Hardy–Littlewood maximal operator on a Kothe function space X and on its Kothe dual X' is equivalent to the well-posedness of the X-Dirichlet and X'-Dirichlet problems inRn+ in the class of all second-order ...
J. M. Martell, D. Mitrea, I. Mitrea, M. Mitrea   +3 more
semanticscholar   +1 more source

Multidimensional analogues of the Riemann–Hilbert boundary value problem

Mathematical 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

Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos

Entropy, 2022
We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core are chaotic but flows that are moving in opposite directions around it are non-chaotic.
Hassan Attarchi, Leonid A. Bunimovich
doaj   +1 more source

Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

Advances in Nonlinear Analysis, 2017
The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
doaj   +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

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