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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...
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...
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...
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...
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...
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...
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...

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