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
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- EP ID EP461332
- DOI 10.15926/j.cnki.issn1672-6871.2016.03.019
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