Caffarelli-kohn-nirenberg type inequalities

Author: mofh

August undefined, 2024

WebAbstract We find for small e positive solutions to the equation − div ( x −2a ∇ u)− λ x 2(1+a) u=(1+ek(x)) u p−1 x bp in R N , which branch off from the manifold of minimizers in the class of radial functions of the corresponding Caffarelli–Kohn–Nirenberg-type inequality. Moreover, our analysis highlights the symmetry-breaking phenomenon in these … WebDec 4, 2007 · A Caffarelli–Kohn–Nirenberg type inequality on Riemannian manifolds. Applied Mathematics Letters, Vol. 23, Issue. 10, p. 1166. CrossRef; ... The Caffarelli–Kohn–Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature. Journal of Mathematical Analysis and Applications, Vol. 428, Issue. 2, p. 866. ...

Lp-Caffarelli–Kohn–Nirenberg type inequalities on homogeneous g…

WebOct 15, 2024 · The main purpose of this paper is to establish several general Caffarelli–Kohn–Nirenberg (CKN) inequalities on Carnot groups G (also known as stratified groups). These CKN inequalities are ... WebAug 24, 2024 · We present some Caffarelli-Kohn-Nirenberg-type inequalities on Herz-type Besov-Triebel-Lizorkin spaces, Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces. More Precisely, we investigate the... insured elite llc

Anisotropic Caffarelli-Kohn-Nirenberg type inequalities

WebConsider the following inequalities due to Caffarelli, Kohn, and Nirenberg [6]: 0 B @ Z RN jxj−bpjujp dx 1 C A 2=p Ca;b Z RN jxj−2ajruj2 dx where, for N 3, −1 < a <.N −2/=2, a b a C 1, and p D 2N=.N −2 C2.b −a//. We shall answer some fundamental questions con-cerning these inequalities such as the best embedding constants, the existence Webcurl-free vector ﬁelds. Part of these new inequalities generalize the family of Caﬀarelli-Kohn-Nirenberg (CKN) inequalities studied by Catrina and Costa in [7] from scalar … WebFurthermore, Rădulescu et al. [39] gave the remainder terms of Hardy-Sobolev inequality for exponent two. Recently, Wei and Wu [42] established the stability of the profile decompositions to a special case of the Caffarelli-Kohn-Nirenberg inequality (see [10]) and also gave the remainder term. insured entity type

Fractional Caffarelli–Kohn–Nirenberg inequalities - ScienceDirect

Caffarelli-kohn-nirenberg type inequalities

WebMay 9, 2016 · Caffarelli–Kohn–Nirenberg inequalities on Lie groups of polynomial growth. In the setting of a Lie group of polynomial volume growth, we derive inequalities of … WebDec 24, 2024 · In this paper we introduce several extended versions of the classical Caffarelli—Kohn—Nirenberg inequalities. Moreover, we obtain weighted higher order Rellich, weighted Gagliardo—Nirenberg, Caffarelli—Kohn—Nirenberg, Trudinger inequalities and the uncertainty principle for Dunkl operators. Furthermore, we give an …

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WebOn the Caffarelli–Kohn–Nirenberg-type inequalities involving critical and supercritical weights. The main purpose of this article is to establish the Caffarelli–Kohn– Nirenberg … WebEnter the email address you signed up with and we'll email you a reset link.

WebNote that the Caﬁarelli-Kohn-Nirenberg inequality (1.1) reduces to the classical Sobolev inequality (if a = b = 0) and to the Hardy inequality (if a = 0 and b = 1). Inequality (1.1) proves to be an important tool in studying degenerate elliptic problems. It is also related with the understanding of some important phenomena such as best ... WebJul 2, 2024 · This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general …

WebOct 4, 2024 · We prove L p-Caffarelli–Kohn–Nirenberg type inequalities on homogeneous groups, which is one of most general subclasses of nilpotent Lie groups, all with sharp …

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WebNote that the Caﬁarelli-Kohn-Nirenberg inequality (1.1) reduces to the classical Sobolev inequality (if a = b = 0) and to the Hardy inequality (if a = 0 and b = 1). Inequality (1.1) … insured employer nameWebF. Catrina and Z. Q. Wang , On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions, Commun. jobs in manchester ky 40962WebTaking α = μ = β = 0, inequality (1.15) is an improvement of the Caffarelli-Kohn-Nirenberg inequalities (Theorem A) from q ≥ 1 to q > 0. When α < 0 and μ, β > 0, inequality (1.15) … jobs in mangalore with contact numberWebJun 17, 2024 · Abstract: In this paper, we consider the Caffarelli-Kohn-Nirenberg (CKN) inequality: \begin{eqnarray*} \bigg(\int_{{\mathbb R}^N} x ^{ … jobs in manchester near meWebApr 12, 2024 · 报告摘要： In this talk, I will introduce some results about the weighted elliptic problems, which includes the existence of the sharp constants and optimizers for the weighted Caffarelli Kohn Nirenberg type inequalities, and the classification and non-degenerate of the solutions for some weighted equations. jobs in manchester september 2022WebEnter the email address you signed up with and we'll email you a reset link. jobs in manila for americansWebFurthermore, Rădulescu et al. [39] gave the remainder terms of Hardy-Sobolev inequality for exponent two. Recently, Wei and Wu [42] established the stability of the profile decompositions to a special case of the Caffarelli-Kohn-Nirenberg inequality (see [10]) and also gave the remainder term. jobs in mangalore airport