Caffarelli-kohn-nirenberg type inequalities
WebMay 1, 2024 · Introduction. Let , , , , , be such that and In the case , assume in addition that, with , and Caffarelli, Kohn, and Nirenberg [5] (see also [4]) proved the following well … 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 …
Caffarelli-kohn-nirenberg type inequalities
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WebNov 15, 2016 · Title: Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications 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 ... WebMoreover we extend the Caffarelli-Kohn-Nirenberg inequalities from q ≥ 1 to q > 0. This extension, together with a nonlinear Poincaré inequality which we obtain in this paper, has played an important role in our proof of the above mentioned anisotropic interpolation inequalities. article.
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 … 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 …
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WebF. Catrina and Z. Q. Wang , On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions, Commun. lawn mowers and trimmersWebMay 28, 2024 · Giulio Ciraolo, Rosario Corso. We consider positive critical points of Caffarelli-Kohn-Nirenberg inequalities and prove a Liouville type result which allows us to give a complete classification of the solutions in a certain range of parameters, providing a symmetry result for positive solutions. The governing operator is a weighted -Laplace ... k and s loungek and s managementWebMar 23, 2024 · In this paper, we prove one Caffarelli–Kohn–Nirenberg type (CKN) inequality for submanifolds into the Euclidean space using a direct but very efficient … k and s music shop bell kitWebMar 25, 2024 · 24. Hardy and Hardy-Rellich type inequalities with Bessel pairs. Ann. Acad. Sci. Fenn. Math. 43 (2024), 211-223. 23. (with G. Lu) Sharp Constants and Optimizers for a Class of Caffarelli–Kohn–Nirenberg Inequalities. Adv. Nonlinear Stud. 17 (2024), no. 3, 457–480. 22. Sharp Trudinger-Moser inequalities with monomial weights. k and s medicalWebThe main purpose of this article is to establish the CKN-type inequalities for all α∈R α ∈ R and to study the relating matters systematically. Roughly speaking, we shall discuss about the characterizations of the CKN-type inequalities for all α∈ R α ∈ R as the variational problems, the existence and nonexistence of the extremal ... k and s marine apple riverWebMar 1, 2024 · We consider positive critical points of Caffarelli–Kohn–Nirenberg inequalities and prove a Liouville type result which allows us to give a complete classification of the solutions in a certain range of parameters, providing a symmetry result for positive solutions. ... the symmetry breaking region for extremals of Caffarelli–Kohn ... k and sons tree service