Results 11 to 20 of about 211,809 (286)
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
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Rarefied elliptic hypergeometric functions [PDF]
Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case,
Spiridonov, V.
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New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation [PDF]
Using the result of a matrix model computation of the exact glueball superpotential, we investigate the relevant mass perturbations of the Leigh-Strassler marginal ``q'' deformation of N=4 supersymmetric gauge theory.
A. Kapustin +25 more
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Elliptic flow and system size dependence of transition energies at intermediate energies [PDF]
The elliptic flow for $Z\le2$ particles in heavy ion collisions at energies from several tens to several hundreds MeV per nucleon is investigated by means of transport model,i.e.
Li, Zhuxia, Zhang, Yingxun
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
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
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In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
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A symmetry result for cooperative elliptic systems with singularities [PDF]
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small vacancies" (measured in terms of capacity) along which the solution may ...
Biagi, Stefano +2 more
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Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains
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
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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
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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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