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Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity

410083, China Correspondence should be addressed to Shengjun Li; moc.621@626iljhs Received 15 April 2018; Accepted 10 June 2018; Published 18 July 2018 Academic Editor: Xinguang Zhang Copyright © 2018

Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity

410083, China Correspondence should be addressed to Shengjun Li; moc.621@626iljhs Received 15 April 2018; Accepted 10 June 2018; Published 18 July 2018 Academic Editor: Xinguang Zhang Copyright © 2018

Effect of Polyethylene Glycol on the NiO Photocathode

In this study, a uniform nanoporous NiO film, with a thickness of up to 2.6 μm, was prepared using polyethylene glycol (PEG). The addition of PEG significantly decreased the cracks in the NiO film and prevented the peeling of the NiO film from a fluorine-doped tin oxide substrate. The NiO cathode was prepared using CdSeS quantum dots (QDs) as the sensitizer, with an optimized...

Computation of fixed point index and applications to superlinear periodic problem

Jiangsu Higher Education Institutions of China (Grant No. 15KJB110001). The research of Shengjun Li is supported by the National Natural Science Foundation of China (Grant No. 11461016) and Hainan Natural

Multiple solutions on a p-biharmonic equation with nonlocal term

By variational methods we consider a p-biharmonic equation with nonlocal term on unbounded domain. We give sufficient conditions for the existence of solutions when some certain assumptions are fulfilled. MSC: 35J20, 35J62, 35J92.

CdS/CdSe Co-sensitized Solar Cells Based on Hierarchically Structured SnO2/TiO2 Hybrid Films

SnO2 nanosheet-structured films were prepared on a fluorine-doped tin oxide (FTO) substrate using ZnO nanosheet as template. The as-prepared SnO2 nanosheets contained plenty of nano-voids and were generally vertical to the substrate. TiO2 nanoparticles were homogeneously deposited into the intervals between the SnO2 nanosheets to prepare a hierarchically structured SnO2/TiO2...

Periodic solutions for a singular damped differential equation

Based on a variational approach, we prove that a second-order singular damped differential equation has at least one periodic solution when some reasonable assumptions are satisfied. MSC: 34C37, 35A15, 35B38.

Multiplicity of positive solutions to second-order singular differential equations with a parameter

We study the existence and multiplicity of positive periodic solutions for second-order nonlinear damped differential equations by combing the analysis of positiveness of the Green function for a linear damped equation. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on the Guo-Krasnosel’skii fixed point theorem on compression and...

IL-1β mediates MCP-1 induction by Wnt5a in gastric cancer cells

Background Both Wnt5a overexpression and macrophage infiltration have been implicated in inflammation and cancer. The aim of this study is to reveal the involvement of Wnt5a in macrophage recruitment in gastric cancer. Methods mRNA expression in gastric cancer tissues and cells was investigated by real-time PCR. Protein secretion by gastric cancer cells was determined by ELISA...

Multiple sclerosis: clinical features and MRI findings in Northern China

Background Reports in Asian populations suggest that ethnic and geographical differences may influence susceptibility to multiple sclerosis (MS) and its clinical behaviors. Here, we sought to retrospectively survey clinical characteristics and MRI data in Chinese subjects with MS. Methods We conducted a retrospective analysis in 117 patients with MS. The patients were divided...

Periodic solutions of radially symmetric systems with a singularity

In this paper, we study the existence of infinitely many periodic solutions to planar radially symmetric systems with certain strong repulsive singularities near the origin and with some semilinear growth near infinity. The proof of the main result relies on topological degree theory. Recent results in the literature are generalized and complemented.MSC: 34C25.