Caffarelli-kohn-nirenberg type inequalities
Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 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.
Caffarelli-kohn-nirenberg type inequalities
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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 … WebMay 15, 2024 · To prove the fractional Caffarelli–Kohn–Nirenberg inequality, we need to define fractional Sobolev spaces with weight. More precisely, let 0 < β < N − p s 2 and …
WebEnter the email address you signed up with and we'll email you a reset link. WebOct 1, 2010 · Some of the directions that have been developed include the study of positive solutions to critical singular quasilinear elliptic problems related to the Caffarelli–Kohn–Nirenberg inequality [10], [8], [9], improved inequalities of this type [13], sharp constants, the existence, nonexistence and symmetry of extremal functions [7], to …
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. WebNov 15, 2016 · Title: Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
WebMar 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. do fishes have bloodWebAug 22, 2024 · In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted L^ {p} -Sobolev type inequalities on stratified Lie groups. All inequalities are … facts about memorial day for kidsWebNov 25, 2024 · As main tools we use the so-called expand of squares method to establish sharp weighted L 2-Caffarelli-Kohn-Nirenberg (CKN) inequalities and density arguments. Previous article in issue; Next article in ... Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities. J. Math. Anal. Appl., 337 (1) (2008), pp. … do fishes have backbonesWebAug 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... do fishes have a brainWebMar 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 … facts about mel gibsonWebOct 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 … facts about melting pointWebMoreover 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. facts about memory