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81.
Yohei?SatoEmail author Masataka?Shibata 《Calculus of Variations and Partial Differential Equations》2018,57(5):137
We prove the existence of infinitely many solutions for where V(x) satisfies \(\lim _{|x| \rightarrow \infty } V(x) = V_\infty >0\) and some conditions. We require conditions on f(u) only around 0 and at \(\infty \).
相似文献
$$\begin{aligned} - \Delta u + V(x) u = f(u) \quad \text { in } \mathbb {R}^N, \quad u \in H^1(\mathbb {R}^N), \end{aligned}$$
82.
83.
Tetsutaro Shibata 《Journal d'Analyse Mathématique》1995,66(1):277-294
The nonlinear two-parameter Sturm-Liouville problemu
"+μg(u)=λf(u) is studied for μ, λ>0. By using Ljusternik-Schnirelman theory on the general level set developed by Zeidler, we shall show
the existence of ann-th variational eigenvalue λ=λn(μ). Furthermore, for specialf andg, the asymptotic formula of λ1(μ)) as μ→∞ is established. 相似文献
84.
Journal of Russian Laser Research - In the constant intensity approximation, we study the effects of self-phase and cross-phase modulations in a cubic medium of an optical fiber at four-wave... 相似文献
85.
86.
87.
Shibghatullah Muhammady Fatimah A. Noor Rena Widita Yudi Darma 《International journal of quantum chemistry》2020,120(16):e26268
We study the structural, electronic, and magnetic properties of monolayer α-PbO0.875A0.125 (A = N, F), which are calculated using first principles. As a result, N doping induces local ferromagnetism centered at the N2− site, originating from the spin-down N 2p valence states. On the other hand, F doping induces nonmagnetism and induces ab-plane deformation, where F− receives one electron to its nearest-neighboring Pb1.75+ ions. N doping redshifts the bandgap of the undoped system and transforms it to be indirect, while F doping blueshifts the bandgap through the Burstein-Moss effect. The hybridization of Pb 6p and O 2p orbitals is stronger near the A site than that of the crystal structure edge. Our result shows new insights, predicting possible experimental results for future functional device applications. 相似文献
88.
Suzuka Kinoshita Ryota Yamano Dr. Yu Shibata Yusuke Tanaka Kyoichi Hanada Dr. Takashi Matsumoto Prof. Dr. Kazunori Miyamoto Dr. Atsuya Muranaka Prof. Dr. Masanobu Uchiyama Prof. Dr. Ken Tanaka 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2020,132(27):11113-11120
An S-shaped double helicene-like molecule (>99 % ee), possessing stable helical chirality, has been synthesized by the rhodium(I)/difluorphos complex-catalyzed highly diastereo- and enantioselective intramolecular double [2+2+2] cycloaddition of a 2-naphthol- and benzene-linked hexayne. The collision between two terminal naphthalene rings destabilizes the helical chirality of the S-shaped double helicene-like molecule, but the introduction of two additional fused benzene rings significantly increases the configurational stability. Thus, no epimerization and racemization were observed even at 100 °C. The enantiopure S-shaped double helicene-like molecule forms a trimer through the multiple C−H⋅⋅⋅π and C−H⋅⋅⋅O interactions in the solid-state. The trimers stack to form columnar packing structures, in which neighboring stacks have opposite dipole directions. The accumulation of helical structures in the same direction in the S-shaped double helicene-like molecule enhanced the chiroptical properties. 相似文献
89.
Stereoselective catalytic synthesis of 3-trifluoromethyl indolines through the [4+1] cycloaddition of benzoxazinones and sulfur ylides in a transition-metal-free manner was developed. In the presence of a catalytic amount of sodium hydride, aza-ortho-quinone methide intermediates were formed from trifluoromethyl benzoxazinones through decarboxylation after the first nucleophilic attack of sulfur ylides, which progressed to a second nucleophilic attack of sulfur ylides, resulting in the [4+1] cycloaddition. The key for this catalytic transformation is the dual attack of sulfur ylides on substrates. This unique transition-metal-free protocol is applicable to the synthesis of non-fluorinated vinyl-, ethynyl- or methyl-substituted indolines. The synthesis of 3-trifluoromethyl indoles was also achieved described under stoichiometric conditions. 相似文献
90.
Dr. Ryoichi Tatara Takuma Umezawa Prof. Kei Kubota Prof. Tatsuo Horiba Rena Takaishi Kazuo Hida Takashi Matsuyama Dr. Satoshi Yasuno Prof. Shinichi Komaba 《ChemElectroChem》2021,8(22):4345-4352
The combination of synthetically modified styrene-butadiene rubber (SBR) and sodium carboxymethyl cellulose (CMC) was studied as an aqueous binder for LiCoO2 composite electrodes under high-voltage operation. Methyl methacrylate (MMA) and 2-vinylpyridine (VP) substituted SBR copolymers were synthesized and examined as functional polymer binders. The electrolyte-solvent uptake of the binder-polymer film was increased by the introduction of the MMA units, but the solubility of the polymer in the solvent remained negligibly low. Hard-X-ray photoelectron spectroscopy revealed the formation of a relatively thick passivation layer on the LiCoO2 surface with MMA-substituted SBR and CMC binder, which suppressed the self-discharge of 4.5 V-charged LiCoO2. The capacity retention during battery cycling experiments was similar for the LiCoO2 electrodes with MMA-modified and unmodified SBR binders. While the effect of VP-substitution was not significant, incorporation of the MMA unit enhanced the stability of the charged LiCoO2 electrode and provided improved self-discharge performance. 相似文献