Results 11 to 20 of about 12,696 (269)

A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we study a Hardy-Sobolev critical elliptic system involving coupled perturbation terms: (0.1)−Δu+V1(x)u=η1η1+η2∣u∣η1−2u∣v∣η2∣x′∣+αα+βQ(x)∣u∣α−2u∣v∣β,−Δv+V2(x)v=η2η1+η2∣v∣η2−2v∣u∣η1∣x′∣+βα+βQ(x)∣v∣β−2v∣u∣α,\left\{\begin{array}{c}-\Delta u+
Wang Lu Shun, Yang Tao, Yang Xiao Long
doaj   +1 more source

Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs

open access: yesAdvanced Nonlinear Studies, 2020
We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano   +2 more
doaj   +1 more source

Elliptic Systems [PDF]

open access: yes, 2006
In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
openaire   +3 more sources

Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains

open access: yesJournal of Taibah University for Science, 2019
In this paper, an optimal boundary control problem for a distributed elliptic system on Lipschitz domains with boundary homogeneous Dirichlet conditions and independently with Neumann conditions is analysed.
G. M. Bahaa, S. Khidr
doaj   +1 more source

含奇异权函数的椭圆方程组边界爆破解的唯一性(Uniqueness of boundary blow-up solution to an elliptic system with singular weights)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2014
Based on the construction of certain upper and sub-solutions, the boundary behavior of positive boundary blow-up solutions to elliptic systems are obtained, here the singular weight functions b1(x),b2(x) are permitted to be bounded in some parts of the ...
LIXiaoqin(李晓琴)   +2 more
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

Preconditioning for Regular Elliptic Systems [PDF]

open access: yesSIAM Journal on Numerical Analysis, 1999
The authors examine preconditioning operators for regular elliptic systems of partial differential operators. They obtain general conditions under which the preconditioned systems are bounded. Some useful guidelines for choosing left and right preconditioning operators for regular elliptic systems also are provided.
Chen, Hsing-Hsia, Strikwerda, John C.
openaire   +1 more source

Duality in elliptic Ruijsenaars system and elliptic symmetric functions

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
We demonstrate that the symmetric elliptic polynomials $$E_\lambda (x)$$ E λ ( x ) originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars–Schneider (eRS) Hamiltonians that act on the ...
A. Mironov, A. Morozov, Y. Zenkevich
doaj   +1 more source

A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

open access: yesTikrit Journal of Pure Science, 2022
In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
doaj   +1 more source

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

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