Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Hichem Hajaiej"'
Autor:
Khadijah Sharaf, Hichem Hajaiej
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 35, Pp 1-20 (2019)
This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of $\mathbb{R}^n, n\geq 5$. We develop an approach to overcome the lack of compactness of the problem and
Externí odkaz:
https://doaj.org/article/d9439dd7d1a54ef199851ed4c7ea1b86
Autor:
Huda Al Saud, Hichem Hajaiej
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 140,, Pp 1-16 (2018)
We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved is a product function not satisfying compactness, monotonicity, neither symmetry properties. Our result cannot be covered
Externí odkaz:
https://doaj.org/article/2daff2f110b24b398f003f9a6945982d
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 60,, Pp 1-32 (2018)
We are concerned with the nonlinear critical problem $-\Delta u=K(x)u^{3}$, $u>0$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain of $\mathbb{R}^4$. Under the assumption that $K$ is strictly decreasing in the outward nor
Externí odkaz:
https://doaj.org/article/3c7b39a00b59438784823fa648dc2717
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 14,, Pp 1-16 (2017)
In this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited ve
Externí odkaz:
https://doaj.org/article/bbcfcd1a1c00441fa59f61ac99284efb
Publikováno v:
Annales Henri Poincaré. 24:1377-1416
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9cf0a55f3c9fd78481036708777d877
https://doi.org/10.1007/s00023-022-01249-y
https://doi.org/10.1007/s00023-022-01249-y
Autor:
Brahim Alouini, Hichem Hajaiej
Publikováno v:
Analysis and Applications. 21:651-676
The purpose of this paper is to study the dynamics of solutions to an extended Gross–Pitaevskii equation that models the formation of droplets in a dipolar Bose–Einstein condensate (BEC). The formation of these droplets has been recently discover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea8fb0c09a9a82ff355cd9d90a9b83e6
https://doi.org/10.1142/s0219530522500117
https://doi.org/10.1142/s0219530522500117
Autor:
Tingjian Luo, Hichem Hajaiej
Publikováno v:
Advanced Nonlinear Studies. 22:228-247
The purpose of this article is to establish sharp conditions for the existence of normalized solutions to a class of scalar field equations involving mixed fractional Laplacians with different orders. This study includes the case when one operator is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ad67145ede6cd420b7c42d7fa02330e
https://doi.org/10.1515/ans-2022-0013
https://doi.org/10.1515/ans-2022-0013
Autor:
L. Chergui, Hichem Hajaiej
Publikováno v:
Journal of Evolution Equations. 21:5055-5077
We study a Gross–Pitaevskii (GP) system associated with a Bose–Einstein condensate (BEC). The two-component system is highly related to fingering instabilities. The latter arises in many fields ranging from nuclear and supernova explosions to mag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58d54b73f1f3a611b9f326e923efbed4
https://doi.org/10.1007/s00028-021-00741-y
https://doi.org/10.1007/s00028-021-00741-y
Publikováno v:
Rendiconti del Seminario Matematico della Università di Padova. 146:1-42
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82eb83b2e70daf3efbf18bc0e42e5523
https://doi.org/10.4171/rsmup/82
https://doi.org/10.4171/rsmup/82
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 148:1-23
We investigate the existence of ground state solutions of a Gross-Pitaevskii equation modeling the dynamics of pumped Bose Einstein condensates (BEC). The main interest in such BEC comes from its important nature as macroscopic quantum system, consti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d17b80260d6b76a18950d62591fc4448
https://doi.org/10.1016/j.matpur.2021.01.010
https://doi.org/10.1016/j.matpur.2021.01.010