… Applying the approaches used in, we can show that there do not exist solutions such that \(v_2…
many solutions for which there may exist four small-amplitude limit cycles. One solution is …

… a singular Cauchy problem with the initial data at infinity or the problems without initial
data, eg, with the requirement of the solution boundedness. We formulate the existence and …

… show the local boundedness of such quasi-minimizers which by existence theory contained
… Ω, like boundedness or symmetry, it is rather standard to show that the solution of the Cauchy…

… equations and systems, such as the elasticity system, the Stokes system, and … of boundedness
of the weighted energy or the Dirichlet integral, where asymptotic expansions of solutions …

… We will show that u is bounded in B1/2. The idea is to adapt De Giorgi’s proof for local
boundedness for solutions of a linear elliptic equation. As is well known, his proof applies to …

… The issue regarding partial regularity of weak solutions was settled in the negative by
Soucek in [97] for n = N ≥ 3: there exist systems (3.14)–(3.15) with bounded weak solutions that …

… Next, we estimate the upper bound of jti Ą tjj which is called the span … Theorem A. First, we
note that by a repeated use of the transformation in Theorem 3.10, 3), for the singular system L …

… Thus, in many cases the singular systems (1) and the systems (4), (5) can be regularized by
… and non-uniqueness of its decreasing, the boundedness of such approaches is evident. The …

… do not generate a boundary condition at a finite point) or at infinity (when, on the contrary,
all solutions of the equation are bounded at zero, and their values do not generate a boundary …

… generalized analytic vectors in plane domains bounded by smooth curves and give the
Noetherity conditions of the problem. In particular, we consider the system of elliptic equations (1) …