Results 91 to 100 of about 71,930 (202)
On quantum Sobolev inequalities
Journal of Functional Analysis27 pages. v2: added references, Morrey inequalities and comments on Riesz transforms. v3: typos corrected, added parallel and references to the skew information (Cor 2.2), comparison with commutators with complex exponentials (Prop 2.3) and an appendix on the quantum fractional ...
openaire +4 more sources
The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we establish the best constant of $\mathcal{L}^{p}$ Sobolev inequality for a function with anti-periodic boundary conditions. The best constant is expressed by $\mathcal{L}^q$ norm of $(M-1)$-th order Euler polynomial.
Jozef Kiseľák
doaj +1 more source
Normalized solutions for a fractional coupled critical Hartree system
Electronic Journal of Qualitative Theory of Differential EquationsWe consider the existence of normalized solutions for a fractional coupled Hartree system, with the upper critical exponent in the sense of the Hardy-Littelwood-Sobolev inequality.
Shengbing Deng, Wenshan Luo
doaj +1 more source
A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin–Triebel spaces with mixed norms
Journal of Function Spaces and Applications, 2007 The article deals with a simplified proof of the Sobolev embedding theorem for Lizorkin–Triebel spaces (that contain the Lp-Sobolev spaces Hps as special cases).
Jon Johnsen, Winfried Sickel
doaj +1 more source
On weighted Sobolev interpolation inequalities [PDF]
Proceedings of the American Mathematical Society, 1994 We obtain some weighted Sobolev interpolation inequalities on R n {\mathbb {R}^n} and domains satisfying the Boman chain condition for doubling weights satisfying a weighted Poincaré inequality.
openaire +2 more sources
On weighted Calderón-Zygmund singular integrals and applications
Journal of Innovative Applied Mathematics and Computational Sciences, 2022 This paper studies some weighted norm inequalities related to some Calderon-Zygmund singular integrals. Applications to the Sobolev-Gagliardo-Nirenberg inequality, differential forms, and the potential equation du = f are given.
Ahmed Loulit
doaj
Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrodinger equation
Electronic Journal of Differential Equations, 2009 In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrodinger equation in all dimensions based on the recent linear profile decomposition result.
Shuanglin Shao
doaj
Blowup of Smooth Solutions for an Aggregation Equation
Abstract and Applied Analysis, 2013 We study the blowup criterion of smooth solutions for an inviscid aggregation equation in . By means of the losing estimates and the logarithmic Sobolev inequality, we establish an improved blowup criterion of smooth solutions.
Wenxin Yu, Yigang He
doaj +1 more source
, 2001 The existence of extremal functions for the Sobolev trace inequalities is studied using the concentration compactness theorem. The conjectured extremal, the function of conformal factor, is considered and is proved to be an actual extremal function with extra symmetry condition on functions.
openaire +2 more sources
We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.
Martín i Pedret, Joaquim|| +2 more
openaire +1 more source