Results 31 to 40 of about 1,711 (146)
Asymptotic behavior of multiple solutions for quasilinear Schrödinger equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper establishes the multiplicity of solutions for a class of quasilinear Schrödinger elliptic equations: \begin{equation*} -\Delta u+V(x)u-\frac{\gamma}{2}\Delta(u^{2})u=f(x,u),\qquad x\in \mathbb{R}^{3}, \end{equation*} where $V(x):\mathbb{R}^3 ...
Xian Zhang, Chen Huang
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Existence and concentration of ground state solutions for a critical nonlocal Schr\"odinger equation in $\R^2$ [PDF]
, 2016 We study the following singularly perturbed nonlocal Schr\"{o}dinger equation $$ -\vr^2\Delta u +V(x)u =\vr^{\mu-2}\Big[\frac{1}{|x|^{\mu}}\ast F(u)\Big]f(u) \quad \mbox{in} \quad \R^2, $$ where $V(x)$ is a continuous real function on $\R^2$, $F(s)$ is ...
Alves, Claudianor O. +3 more
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Stability and instability of the quasilinear Gross-Pitaevskii dark solitons*** [PDF]
ESAIM: Proceedings and SurveysWe study a quasilinear Schrödinger equation with nonzero conditions at infinity. In previous works, we obtained a continuous branch of traveling waves, given by dark solitons indexed by their speed. Neglecting the quasilinear term, one recovers the Gross-
Le Quiniou Erwan
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Blow up dynamics for smooth equivariant solutions to the energy critical Schr\"odinger map [PDF]
, 2011 We consider the energy critical Schr\"odinger map problem with the 2-sphere target for equivariant initial data of homotopy index $k=1$. We show the existence of a codimension one set of smooth well localized initial data arbitrarily close to the ground ...
Bejenaru +21 more
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Advanced Nonlinear Studies, 2019 We study the following generalized quasilinear Schrödinger equation:
Deng Yinbin, Huang Wentao, Zhang Shen
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Existence of a bound state solution for quasilinear Schrödinger equations
Advances in Nonlinear Analysis, 2017 In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
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Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition
AIMS Mathematics, 2020 We study a quasilinear Schrödinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter λ is large enough. We also establish the existence
Yin Deng, Gao Jia, Fanglan Li
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 100, Issue 5, May 2020., 2020 Fifty years have passed since Truesdell's seminal paper on the origin and status of the balance for the moment of momentum was published in ZAMM. It is time to take stock: Important new developments in the theory of generalized continua with internal degrees of freedom and some fascinating fundamental applications need to be pointed out….
Wolfgang H. Müller +2 more
wiley +1 more source
WIREs Computational Molecular Science, Volume 10, Issue 1, January/February 2020., 2020 Pictorial representation of the quantum graph applied to the quantum‐dynamical description of the low‐energy vibrations of . The 120 internal rotation and 60 flip edges connecting the 120 equivalent vertices (versions) are indicated by blue and red lines, respectively Abstract The concept of quasistructural molecules is introduced.
Attila G. Császár +2 more
wiley +1 more source
Interpolation inequalities and spectral estimates for magnetic operators [PDF]
, 2018 We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring estimates for the principal eigenvalue of magnetic Schr{\"o}dinger operators. We establish explicit upper and lower bounds for the best constants and show by numerical methods that ...
Dolbeault, Jean +3 more
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