We establish Luzin N and Morse–Sard properties for BV2 functions defined on open
domains in the plane. Using these results we prove that almost all level sets are finite …

We establish Luzin N and Morse–Sard properties for functions from the Sobolev space W n,
1 (ℝ n). Using these results we prove that almost all level sets are finite disjoint unions of C 1 …

We establish Luzin N-and Morse-Sard properties for mappings ν: ℝn→ ℝm of the Sobolev-
Lorentz class W_p,1^k with k= n–m+ 1 and p= n/k (this is the sharp case that guaranties the …

Abstract The Morse–Sard theorem requires that a mapping v: R n→ R m is of class C k, k>
max⁡(n− m, 0). In 1957 Dubovitskiĭ generalized this result by proving that almost all level …

Abstract The classical Morse–Sard theorem claims that for a mapping v: R n→ R m+ 1 of
class C k the measure of critical values v (Z v, m) is zero under condition k≥ n− m. Here the …

For a regular (in a sense) mapping $ v:\mathbb {R}^ n\to\mathbb {R}^ d $ we study the
following problem:{\sl let $ S $ be a subset of $ m $-critical a set $\tilde Z_ {v, m}=\{{\rm …

We prove Luzin N-and Morse–Sard properties for mappings v: Rn→ Rd of the Sobolev–
Lorentz class Wk p, 1, p= nk (this is the sharp case that guarantees the continuity of …

The Morse-Sard theorem requires that a mapping v: ℝn→ ℝm is of class Ck, k> max (nm, 0).
In 1957 Dubovitskiĭ generalized this result by proving that almost all level sets for a Ck …

We establish Luzin N and Morse–Sard properties for functions from the Sobolev space Wn,
1 (Rn). Using these results we prove that almost all level sets are finite disjoint unions of C1 …

Pubblicazioni Page 1 ELENCO PUBBLICAZIONI Pubblicazioni Articoli accettati [1] P. Secchi,
A. Morando, P. Trebeschi Hyperbolic problems with characteristic boundary J. Necas …