Solutions to a Class of Disturbed Quasilinear Schrödinger Equations without Compactness
Journal Title: 河南科技大学学报（自然科学版） - Year 2019, Vol 40, Issue 4
Abstract
The existence of ground state solutions for a class of quasilinear Schrödinger equations with disturbance term was studied through Nehari manifold method. Firstly, it was proved that the Nehari manifold corresponding to the equation was non-empty by using an algebraic equation. Secondly, according to the definition of manifold and the Sobolev inequality, the norm of the elements had a positive lower bound when the Nehari manifold was limited. And then, the lack problem of compactness in the working space was solved by the concentration compactness principle. Thus, the functional constraint minimum corresponding to the equation was obtained. Finally, the existence of the ground state solution of the equation was obtained by using the constrained extremum principle.
Authors and Affiliations
Jinfeng GAO, Zhanping LIANG
Keywords
Related Articles
- EP ID EP553930
- DOI 10.15926/j.cnki.issn1672-6871.2019.04.016
- Views 83
- Downloads 0
Photocatalyzed Degradation of Acid Yellow G via Nano-ZnO Loaded Bentonite
1
Cross-Layer Transmission Optimization Strategy in Wireless Sensor Networks
To solve the problem that the wireless sensor networks( WSNs) had lower transmission efficiency currently,a WSNs transmission optimization strategy based on cross-layer access was proposed. By cross-layer access mechanis...
Optimization Design of Automobile Sub-frame Based on Isight
A sub-frame finite element model was built for static strength and modal analysis. The static strength was found to be far smaller than the material yield strength( σs). Besides,the first frequency was too low which affe...
Interface Layer Structure and Properties of Cu / Al Compound Plate
The Cu / Al composite plate was prepared by twin-roll casting. Peel testing and tensile testing were used to test mechanical properties of Cu / Al composite. The scanning electron microscope( SEM),energy dispersive spect...
New Type Z-source Inverter
In order to improve the output voltage of inverter direct current side,a new type of Z-source inverter was proposed. In this topology,the traditional inductance of Z-source in the network was replaced by the switch induc...