Existence of Nontrivial Solution of a Class of p-Laplacian Equation
Journal Title: 河南科技大学学报（自然科学版） - Year 2016, Vol 37, Issue 3
Abstract
The existence of nontrivial solutions for a class of p-Laplacian equations was studied via Nehari manifold. Four lemmas were got. Nehari manifold was non empty. On the Nehari manifold,the greatest lower bound of the functional was greater than zero. On the Nehari manifold,the greatest lower bound of the functional was obtained. In the place where the greatest lower bound of the functional was obtained,derivativeoperator of the functional was zero. The main conclusions is that the p-Laplacian equation has at least one nontrivial solution.
Authors and Affiliations
Shanrong WANG, Jingwen LUO, Yanying SHANG, Chunlei TANG
Keywords
Related Articles
- EP ID EP461332
- DOI 10.15926/j.cnki.issn1672-6871.2016.03.019
- Views 53
- Downloads 0
Effect of Dry-Wet Cycles on Diffusion Properties of Chloride Ions in Unsaturated Lithium Slag Concrete
The deterioration of concrete durability was caused by chloride ion erosion under the action of dry and wet circulation. The dry and wet circulation was simulated by immersion and spray under different relative humidity...
Rotation Optimization Based on Implicit Graph Model and the Longest Path Algorithm
Considering the concept of setting the rotation to maximize the economic returns in forest,the profit model was developed to maximize the net present value from selling timber. Then an implicit graph was designed by conv...
Investigation and Molecular Pathogen Identification of Sarcocystis from Pigs in Luoyang
In order to reveal the infection status and pathogen species of Sarcocystis infection in pork on sale for consumers, 164 fresh pork samples were randomly collected from different supermarkets and vegetable markets in dow...
Die Life Prediction and Process of Cold Rotary Forging for Hypoid Gears
In order to reduce production cost and increase production efficiency, the die life of the cold rotary forging was predicted and the process optimization was carried out. Stress and strain of the die in process of cold r...
Three-dimensional Performance of Vertical Axis Wind Rotor Inspired by Bionic Fish Ridge
In order to improve the wind energy conversion efficiency of the resistance vertical axis wind rotor, the influence of wind rotor typical structural parameters of a proposed fish-ridged type wind rotor on wind energy con...