Zobrazeno 1 - 10
of 6 924
pro vyhledávání: '"ground states"'
Autor:
Xiaoguang Li
Publikováno v:
Electronic Research Archive, Vol 32, Iss 7, Pp 4199-4217 (2024)
We investigate the existence of ground states for a class of Schrödinger equations with both a standard power nonlinearity and delta nonlinearity concentrated at finite vertices of the periodic metric graphs $ G $. Using variational methods, if $ \a
Externí odkaz:
https://doaj.org/article/a301062e2a944a6fb1ad5393ec8c1dc0
Autor:
C. M. Newman, D. L. Stein
Publikováno v:
Frontiers in Physics, Vol 12 (2024)
We show that the notion of critical droplets is central to an understanding of the nature of ground states in the Edwards–Anderson–Ising model of a spin glass in arbitrary dimensions. Given a specific ground state, we suppose that the coupling va
Externí odkaz:
https://doaj.org/article/fd623d1edaf24fa580ad2d7569cf5e29
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 367-396 (2024)
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of en
Externí odkaz:
https://doaj.org/article/e42a1295652e4b24a1644525b211ca89
Autor:
Zhang Caifeng, Zhu Maochun
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 616-636 (2024)
The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x|βdx
Externí odkaz:
https://doaj.org/article/33abcea961bf45e887d46dbdd286d38f
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 29,, Pp 1-20 (2024)
Externí odkaz:
https://doaj.org/article/41f38811d1474986a972510fb19309d8
Autor:
Qun Wang, Aixia Qian
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract We study the following nonlinear mass supercritical Kirchhoff equation: − ( a + b ∫ R N | ∇ u | 2 ) △ u + μ u = f ( u ) in R N , $$ - \biggl(a+b \int _{\mathbb{R}^{N}} \vert \nabla u \vert ^{2} \biggr) \triangle u+ \mu u=f(u) \quad
Externí odkaz:
https://doaj.org/article/904c92e2c3bd4f0887f61fe2855e6257
Akademický článek
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Publikováno v:
Bulletin of Mathematical Sciences, Vol 14, Iss 02 (2024)
We study the nonlinear coupled Kirchhoff system with purely Sobolev critical exponent. By using appropriate transformation, we get one equivalent system involving a critical Schrödinger system and an algebraic system. Through solving the critical Sc
Externí odkaz:
https://doaj.org/article/3b1e9af11044428cb1ce1dd2a08115b8
We are concerned with the study of existence of nontrivial ground states solutions for of Schr\"odinger systems with Chern-Simons gauge fields.
Comment: 18 pages, typos corrected
Comment: 18 pages, typos corrected
Externí odkaz:
http://arxiv.org/abs/2206.01065
Autor:
Liliana Cely
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 76,, Pp 1-20 (2023)
Externí odkaz:
https://doaj.org/article/669cb53392ac42e38b1463cba58b07c3