Results 41 to 50 of about 2,059,051 (311)
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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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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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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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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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 The pediatric hematology‐oncology fellowship training curriculum has not substantially changed since its inception. The first year of training is clinically focused, and the second and third years are devoted to scholarship. However, this current structure leaves many fellows less competitive in the current job market, resulting in ...
Scott C. Borinstein +3 more
wiley +1 more source
Ground state and excitation spectra of a strongly correlated lattice by the coupled cluster method [PDF]
, 2012 We apply Coupled Cluster Method to a strongly correlated lattice and develop the Spectral Coupled Cluster equations by finding an approximation to the resolvent operator, that gives the spectral response for an certain class of probe operators.
Bartlett +15 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction We developed MedSupport, a multilevel medication adherence intervention designed to address root barriers to medication adherence. This study sought to explore the feasibility and acceptability of the MedSupport intervention strategies to support a future full‐scale randomized controlled trial.
Elizabeth G. Bouchard +8 more
wiley +1 more source
Mathematics, 2019 We study the following quasilinear Schrödinger equation involving critical exponent − Δ u + V ( x ) u − Δ ( u 2 ) u = A ( x ) | u | p − 1 u + λ B ( x ) u 3 N + 2 N − 2 , u ( x
Jianqing Chen, Qian Zhang
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