Results 101 to 110 of about 3,996 (166)
A higher order Weierstrass approximation theorem - a new proof [PDF]
arXiv, 2004 An technically interesting proof of a known theorem.
arxiv
, 2017 In this paper, variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator are introduced. Then equivalent norms and atomic decomposition of these new spaces are given.
Jingshi Xu, Xiaodi Yang
semanticscholar +1 more source
Extremal functions for the modified Trudinger-Moser inequalities in two dimensions
Mathematical Inequalities & Applications, 2019 Let Ω ⊂ R2 be a smooth bounded domain, W 1,2 0 (Ω) be the standard Sobolev space. Assuming certain conditions on a function g : R → R , we prove that the supremum sup u∈W 0 (Ω),‖∇u‖2 1 ∫ Ω (1+g(u))e4πu 2 dx, can be attained by some function u0 ∈W 1,2 0 ...
Ya in Wang
semanticscholar +1 more source
On the critical Choquard-Kirchhoff problem on the Heisenberg group
Advances in Nonlinear Analysis, 2022 In this paper, we deal with the following critical Choquard-Kirchhoff problem on the Heisenberg group of the form: M(‖u‖2)(−ΔHu+V(ξ)u)=∫HN∣u(η)∣Qλ∗∣η−1ξ∣λdη∣u∣Qλ∗−2u+μf(ξ,u),M\left(\Vert u{\Vert }^{2})\left(-{\Delta }_{{\mathbb{H}}}u\left+V\left(\xi )u)=\
Sun Xueqi, Song Yueqiang, Liang Sihua
doaj +1 more source
On extensions of Sobolev functions defined on regular subsets of metric measure spaces [PDF]
arXiv, 2006 We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator.
arxiv
Sobolev-type spaces from generalized Poincaré inequalities
, 2007 We de ne a Sobolev space by means of a generalized Poincare inequality and relate it to a corresponding space based on upper gradients.
Toni Heikkinen +2 more
semanticscholar +1 more source
The best constant in a fractional Hardy inequality [PDF]
arXiv, 2008 We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.
arxiv
Fractional Maximal Functions in Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2013 We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni +3 more
doaj +1 more source
On the Calderón-Zygmund lemma for Sobolev functions [PDF]
arXiv, 2008 We correct an inaccuracy in the original ...
arxiv
Sharp Constants for Inequalities of Poincaré Type: An Application of Optimal Control Theory [PDF]
arXiv, 2013 Sharp constants for an inequality of Poincar\'e type is studied. The problem is solved by using optimal control theory.
arxiv