Results 31 to 40 of about 2,064,106 (289)
Ground state solutions for a diffusion system
Computers & Mathematics with Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wen, Tang, Xianhua, Zhang, Jian
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Quasilinear Schrödinger equations : ground state and infinitely many normalized solutions
Pacific Journal of Mathematics, 2023 In the present paper, we study the normalized solutions for the following quasilinear Schrödinger equations: $$-Δu-uΔu^2+λu=|u|^{p-2}u \quad \text{in}~\mathbb R^N,$$ with prescribed mass $$\int_{\mathbb R^N} u^2=a^2.$$ We first consider the mass-supercritical case $p>4+\frac{4}{N}$, which has not been studied before.
Li, Houwang, Zou, Wenming
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Variational-Iterative Solution of Ground State for Central Potential
, 2002 The newly developed iterative method based on Green function defined by quadratures along a single trajectory is combined with the variational method to solve the ground state quantum wave function for central potentials.
Zhao, W. Q.
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One-Dimensional Bose Gases with N-Body Attractive Interactions
, 2008 We study the ground state properties of a one-dimensional Bose gas with N-body attractive contact interactions. By using the explicit form of the bright soliton solution of a generalized nonlinear Schroedinger equation, we compute the chemical potential ...
A. O. Gogolin +13 more
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A Note on Inhomogeneous Ground States at Large Global Charge [PDF]
, 2017 In this note we search for the ground state, in infinite volume, of the $D=3$ Wilson-Fisher conformal $O(4)$ model, at nonzero values of the two independent charge densities $\rho_{1,2}$.
Hellerman, Simeon +3 more
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Ground state for Choquard equation with doubly critical growth nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper we consider nonlinear Choquard equation \begin{equation*} -\Delta u+V(x)u=(I_\alpha*F(u))f(u)\quad {\rm in}\ \mathbb{R}^{N}, \end{equation*} where $V\in C(\mathbb{R}^N)$, $I_\alpha$ denotes the Riesz potential, $f(t)=|t|^{p-2}t+|t|^{q-2}t ...
Fuyi Li +3 more
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Ground state properties of one-dimensional Bose-Fermi mixtures
, 2006 Bose-Fermi mixtures in one dimension are studied in detail on the basis of an exact solution. Corresponding to three possible choices of the referecce state in the quantum inverse scattering method, three sets of Bethe-ansatz equations are derived ...
Korepin V E +6 more
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Role of covalency in the ground state properties of perovskite ruthenates: A first principle study using local spin density approximations [PDF]
, 2006 We investigate the electronic structure of SrRuO3 and CaRuO3 using full potential linearized augmented plane wave method within the local spin density approximations.
A. Kanbayashi +6 more
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Concentration of ground state solutions for fractional Hamiltonian systems [PDF]
Topological Methods in Nonlinear Analysis, 2017 In this paper we are concerned with the existence of ground states solutions for the following fractional Hamiltonian systems $$ \left\{ \begin{array}{ll} -_tD^\alpha_\infty(_{-\infty}D^\alpha_t u(t)) - \lambda L(t)u(t)+\nabla W(t,u(t))=0,\\[0.1cm] u \in H^\alpha (\mathbb{R},\mathbb{R}^n), \end{array} \right.\qquad(\hbox{FHS})_\lambda$$ where $\alpha ...
Torres, César, Zhang, Ziheng
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background An international Delphi panel of experts developed consensus statements to delineate the circumstances where the risks of dexamethasone as an antiemetic do and do not outweigh its benefits. Procedure Experts in supportive care of pediatric patients were invited to participate.
Negar Shavandi +20 more
wiley +1 more source