We consider weak solutions u ∈ u_0+ W^ 1, 2 _0 (Ω, R^ N) ∩ L^ ∞ (Ω, R^ N) of second-
order nonlinear elliptic systems of the type-\rm div\, a (\, ⋅\,, u, Du)= b (\, ⋅\,, u, Du)\qquad in …

In this article we consider the following boundary value problem\begin {equation*}\label
{abs}\left\{\begin {aligned} F (x, u, Du, D^{2} u)+ c (x) u+ p (x) u^{-\alpha} &= 0~\text …

We consider questions of boundary regularity for solutions of certain systems of second-
order nonlinear elliptic equations. We obtain a general criterion for a weak solution to be …

Let an elliptic system of m equations in£ 1 c| Rp be considered:-D «(a^(x, u, vu))+ I^ XjU.
vu)=-D^ f^ x)* f1 (x), o (s1f..., ni= 1,..., mx=(x^,..., xn) u=(u,..., u). It is known that for the couples …

Nonlinear elliptic systems with q-growth are considered. It is assumed that additional
nonlinear terms of the systems have q-growth in the gradient, q> 2. For Dirichlet and …

We consider weak solutions of second order nonlinear elliptic systems of divergence type
under subquadratic growth conditions. Via the method of A-harmonic approximation we give …

Boundary regularity results for weak solutions of subquadratic elliptic systems Page 1
Boundary regularity results for weak solutions of subquadratic elliptic systems Den …

For weak solutions of nonlinear elliptic systems of the type-\rm div a (x, u (x), Du (x))= 0, with
nonstandard p (x) growth, we show interior partial Hölder continuity for any Hölder exponent …

We consider the interior regularity for weak solutions of second-order nonlinear elliptic
systems with subquadratic growth under natural growth condition. We obtain a general …

Nonlinear elliptic systems with q-growth are considered. It is assumed that additional
nonlinear terms of the systems have q-growth in the gradient, q< 2. For Dirichlet and …