AbstractWe extend the Morse–Sard theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) with n⩾2 under mild regularity assumptions on the critical set of u
We consider certain properties of maps of class $C^2$ from $R^d$ to $R^{d1}$ that are strictly relat...
AbstractFor each p>n we use local oscillations and doubling measures to give intrinsic characterizat...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
AbstractWe give a simpler and more self-contained proof of the Morse–Sard theorem in the setting of ...
AbstractWe extend the Morse–Sard theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) wit...
Let Ω be an open subset of R n . Consider a differentiable map u : Ω → R m . For many application in...
In the paper we extend the Morse\u2013Sard Theorem to mappings u belonging to the Sobolev class Wn,n...
The classical Morse-Sard theorem claims that for a mapping v : R-n -> Rm+1 of class C-k the measu...
The Morse-Sard theorem requires that a mapping v : ℝn → ℝm is of class Ck, k > max(n - m, 0). In 195...
AbstractIf F is a set-valued mapping from Rn into Rm with closed graph, then y∈Rm is a critical valu...
Considering regular mappings of Euclidean spaces, we study the distortion of the Hausdorff dimension...
In this note we define a C1 function F : [0, M] 2 → [0, 2] that satisfies that its set of critical v...
We prove the critical Dirac-Sobolev inequality for $p\in(1,3)$. It follows that the Dirac Sobolev s...
Tesis doctoral inédita leída en la Universidad Autónoma de Madrid, Facultad de Ciencias, Departament...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
We consider certain properties of maps of class $C^2$ from $R^d$ to $R^{d1}$ that are strictly relat...
AbstractFor each p>n we use local oscillations and doubling measures to give intrinsic characterizat...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
AbstractWe give a simpler and more self-contained proof of the Morse–Sard theorem in the setting of ...
AbstractWe extend the Morse–Sard theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) wit...
Let Ω be an open subset of R n . Consider a differentiable map u : Ω → R m . For many application in...
In the paper we extend the Morse\u2013Sard Theorem to mappings u belonging to the Sobolev class Wn,n...
The classical Morse-Sard theorem claims that for a mapping v : R-n -> Rm+1 of class C-k the measu...
The Morse-Sard theorem requires that a mapping v : ℝn → ℝm is of class Ck, k > max(n - m, 0). In 195...
AbstractIf F is a set-valued mapping from Rn into Rm with closed graph, then y∈Rm is a critical valu...
Considering regular mappings of Euclidean spaces, we study the distortion of the Hausdorff dimension...
In this note we define a C1 function F : [0, M] 2 → [0, 2] that satisfies that its set of critical v...
We prove the critical Dirac-Sobolev inequality for $p\in(1,3)$. It follows that the Dirac Sobolev s...
Tesis doctoral inédita leída en la Universidad Autónoma de Madrid, Facultad de Ciencias, Departament...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
We consider certain properties of maps of class $C^2$ from $R^d$ to $R^{d1}$ that are strictly relat...
AbstractFor each p>n we use local oscillations and doubling measures to give intrinsic characterizat...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
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