Results 221 to 230 of about 17,772 (305)

A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley   +1 more source

Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
wiley   +1 more source

The shifted convolution problem in function fields. [PDF]

open access: yesMath Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

Peierls Bounds from Toom Contours. [PDF]

open access: yesJ Theor Probab
Swart JM, Szabó R, Toninelli C.
europepmc   +1 more source

Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta   +3 more
wiley   +1 more source

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