Multiplicity of Positive Solutions of P-Laplacian Systems With Sign-Changing Weight Functions
Abstract
In this paper, we study the multiplicity of positive solutions for the p-Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2013
- DOI:
- arXiv:
- arXiv:1312.6998
- Bibcode:
- 2013arXiv1312.6998S
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35D30;
- 35J05;
- 35J20