Results 181 to 190 of about 5,210,310 (318)
A Sobolev space and a Darboux problem [PDF]
Pacific Journal of Mathematics, 1977 openaire +3 more sources
A strong quantitative form of the fractional isoperimetric inequality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti +2 more
wiley +1 more source
, 2015 This dissertation focuses on new characterizations of Sobolev spaces . It encompasses an in-depth study of Sobolev spaces on Heisenberg groups, as well as Carnot groups, second order and high order Sobolev spaces on Euclidean ...
Cui, Xiaoyue
core
Polynomial Approximation of Functions in Sobolev Spaces [PDF]
, 1980 Todd Dupont, Ridgway Scott
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Standing waves of nonlinear Schrödinger systems with all attractive forces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley +1 more source
Multivariate box spline wavelets in higher-dimensional Sobolev spaces. [PDF]
J Inequal Appl, 2018 Kumar R, Chauhan M.
europepmc +1 more source
A-priori bounds for the 1-d cubic NLS in negative Sobolev spaces [PDF]
, 2006 Herbert Koch, Daniel Tataru
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
doaj
On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]
, 2013 Julián Fernández Bonder +2 more
openalex +1 more source