… Several counterexamples of irregular solutions are constructed in cases, where additional
… present both bounded irregular and unbounded weak solutions to elliptic systems obeying a …

… by the demand on the sectoral gauge transformations to be bounded, a condition that is
related to the asymptotic behavior of the solutions near the singularities. In the end, the form of …

… for the existence and uniqueness of a solution bounded on the … (X, Y ) is a space of bounded
linear operators acting from X into Y, … We prove the boundedness of solutions (the Lagrange …

… singular points with 2k sectors over which there exist linear (in y) changes of coordinates (ie,
gauge transformations) to the formal normal … to Dρ analytic and bounded functions that we …

… Now, we prove that the majorant series converges and is bounded by ρ for some 0 < σ < ρ
< ρ 1 . For this, the following lemma will play an important role here and in the further sections. …

… prove singular sets estimates with respect to a fixed standard … by the system is adaptive
with respect to the solution in the … We note that a bound of the type (1.19) is necessary when …

… ) is a function of (x, ξ) and Condition C says that it is bounded. However, if the function λ(x,
ξ) is locally bounded, all the results of the article remain valid even if we allow λ(x, ξ) to grow at …

… We prove for all members of the family an a priori error bound that is optimal in both h and
p. … to a stronger stability bound but also improve the approximation properties of the method. …

… Naturally we expect that the study of exactly singular systems will also be beneficial for … a
bounded matrix G is often used as a substitute forthe inverse Jacobian whenever XTfis singular …

… matrices in the unfolded systems: in particular, we link the Stokes matrices to the presence
of logarithmic terms in the general solution of the unfolded system for resonance values of the …