387 research outputs found
Minimization problem on the Hardy-Sobolev inequality and on the Sobolev embedding for Lebesgue space with variable exponent
No full textExistence and nonexistence of ground state solution for semilinear elliptic equation involving Hardy-Sobolev critical exponent (Analysis on Shapes of Solutions to Partial Differential Equations)
No full textDecember 2002 3379 Hashizume Et Al.
No full textTropical instability waves (TIWs), with a typical wavelength of 1000 km and period of 30 days, cause the equatorial front to meander and result in SST variations on the order of 18--28C. Vertical soundings of temperature, humidity, and wind velocity were obtained on board a Japanese research vessel, which sailed through three fully developed SST waves from 1408 to 1108W along 28N during 21--28 September 1999. A strong temperature inversion is observed throughout the cruise along 28N, capping the planetary boundary layer (PBL) that is 1-- 1.5 km deep. Temperature response to TIW-induced SST changes penetrates the whole depth of the PBL. In response to an SST increase, air temperature rises in the lowest kilometer and shows a strong cooling at the mean inversion height. As a result, this temperature dipole is associated with little TIW signal in the observed sea level pressure (SLP)
Relationship between variational problems with norm constraints and ground state of semilinear elliptic equations in R²
No full textThe version of record of this article, first published in Calculus of Variations and Partial Differential Equations, is available online at Publisher’s website: https://doi.org/10.1007/s00526-024-02710-y.In this paper, we investigate variational problems in R² with the Sobolev norm constraints and with the Dirichlet norm constraints. We focus on property of maximizers of the variational problems. Concerning variational problems with the Sobolev norm constraints, we prove that maximizers are ground state solutions of corresponding elliptic equations, while we exhibit an example of a ground state solution which is not a maximizer of corresponding variational problems. On the other hand, we show that maximizers of maximization problems with the Dirichlet norm constraints and ground state solutions of corresponding elliptic equations are the same functions, up to scaling, under suitable setting
Non-compactness phenomena on critical problems and related topics
No full textdepartmental bulletin pape
Asymptotic behavior of the least-energy solutions of a semilinear elliptic equation with the Hardy-Sobolev critical exponent
No full textCorrection to: Comparison of glycyrrhizin content in 25 major kinds of Kampo extracts containing Glycyrrhizae Radix used clinically in Japan
No full textThe article Comparison of glycyrrhizin content in 25 major kinds of Kampo extracts containing Glycyrrhizae Radix used clinically in Japan, written by Mitsuhiko Nose, Momoka Tada, Rika Kojima, Kumiko Nagata, Shinsuke Hisaka, Sayaka Masada, Masato Homma and Takashi Hakamatsuka, was originally published Online First without open access. After publication in volume 71, issue 4, page 711–722 the author decided to opt for Open Choice and to make the article an open access publication. Therefore, the copyright of the article has been changed to © The Author(s) 2018 and the article is forthwith distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</jats:p
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