This paper concerns the positive solutions of boundary value problems for the one-dimensional singular p-Laplacian. By the classical method of elliptic regularization, we obtain some existence results which generalize some results of [W. Zhou, X. Wei, Positive solutions to BVPs for a singular differ
The existence of three positive solutions of a singular -Laplacian problem
โ Scribed by Lin Zhao; Yuan He; Peihao Zhao
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 245 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
We establish the existence of three positive solutions of the p-Laplacian problem, which involves a singular nonlinearity. Three solutions are obtained by using the cutoff argument and the three critical points theorem proved by Ricceri (2000) in [15] and Bonanno (2003) in [12], provided the nonlinear term is a (p -1)-sublinear growth at infinity.
๐ SIMILAR VOLUMES
## Radial solution Upper and lower solutions Fixed point index a b s t r a c t We investigate the existence, nonexistence, and multiplicity of positive radial solutions for the p-Laplacian problem with boundary parameters. For proofs, we mainly use a combination of a fixed point theorem, the metho