Results 31 to 40 of about 2,147 (138)
On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball
, 2020 In this paper, we study the extremal function for the Trudinger-Moser inequality with vanishing weight in the unit ball B⊂RN (N 3). To be exact, let S be the set of all decreasing radially symmetrical functions and αN = Nω 1/(N−1) N−1 , where ωN−1 is the
Mengjie Zhang
semanticscholar +1 more source
On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces, Volume 6, Issue 3, Page 259-276, 2008., 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +3 more
wiley +1 more source
Advanced Nonlinear Studies, 2023 Let II be a bounded interval of R{\mathbb{R}} and λ1(I){\lambda }_{1}\left(I) denote the first eigenvalue of the nonlocal operator (−Δ)14{(-\Delta )}^{\tfrac{1}{4}} with the Dirichlet boundary.
Chen Lu, Wang Bohan, Zhu Maochun
doaj +1 more source
On the best constant of Hardy-Sobolev Inequalities [PDF]
, 2009 We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality.
Adimurthi +2 more
core +2 more sources
Zero-order Mehler-Fock transform and Sobolev-type space
Mathematical Inequalities & Applications, 2019 The present paper is devoted to the study of the Mehler-Fock transform with index as the Legendre function of first kind. Continuity property of the Mehler-fock transform on the test function spaces Λα and Gα is given.
A. Prasad, U. K. Mandal, S. Verma
semanticscholar +1 more source
A homogeneity property for Besov spaces
Journal of Function Spaces, Volume 5, Issue 2, Page 123-132, 2007., 2007 A homogeneity property for some Besov spaces Bp,qs is proved. An analogous property for some Fp,qs spaces is already known.
António M. Caetano +3 more
wiley +1 more source
Trace theorems for Sobolev‐Slobodeckij spaces with or without weights
Journal of Function Spaces, Volume 5, Issue 3, Page 243-268, 2007., 2007 We prove that the well‐known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev‐Slobodeckij spaces Wps(Ω) when s − 1/p is an integer.
Doyoon Kim, Hans Triebel
wiley +1 more source
Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj +1 more source
Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds
Journal of Function Spaces, Volume 5, Issue 1, Page 27-48, 2007., 2007 We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described.
Leszek Skrzypczak +2 more
wiley +1 more source
A direct proof of Sobolev embeddings for quasi‐homogeneous Lizorkin–Triebel spaces with mixed norms
Journal of Function Spaces, Volume 5, Issue 2, Page 183-198, 2007., 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). The method extends to a proof of the corresponding fact for general Lizorkin–Triebel spaces based on mixed Lp‐norms.
Jon Johnsen +2 more
wiley +1 more source