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Douglis--Nirenberg elliptic systems in Hormander spaces
Douglis Nirenberg elliptic systems Hormander spaces
2012/2/29
We investigate Douglis--Nirenberg uniformly elliptic systems in $\mathbb{R}^{n}$ on a class of H\"ormander inner product spaces. They are parametrized with a radial function parameter which is RO-vary...
Weighted maximal regularity estimates and solvability of non-smooth elliptic systems II
elliptic system conjugate function maximal regularity
2011/1/19
In this article, we continue the development of new solvability meth-ods for boundary value problems of Dirichlet, regularity, Neumann type with square integrable data for divergence form second order...
Multiplicity of solutions for homogeneous elliptic systems with critical growth
homogeneous elliptic systems critical growth
2010/11/24
In this paper we are concerned with the number of nonnegative solutions of the elliptic system $$ {array}{ll} -\Delta u = Q_u(u,v) + 1/2{2^*} H_u(u,v),& {in} \Omega,\vdois\ -\Delta v = Q_v(u,v) + 1/{2...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
Principal Eigenvalue and Maximum Principle for some Elliptic Systems defined on General Domains with Refined Dirichlet Boundary Condition
General domains Refined Dirichlet Boundary Condition Refined Maximum Principle Elliptic Systems
2009/6/16
We prove the existence of a principal eigenvalue and we derive a ”Refined Maximum
Principle” for an elliptic system LU = LMU +F defined on an irregular bounded
domain in RN with Refined Dirichlet Bo...
THE IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
Irregular oblique deriVative problem
2007/12/10
摘要 This paper deals with the irregular oblique derivative boundary value problemfor nonlinear elliptic systems of second order equations in multiply connected domains.Firstly the well-posedness of the...