Abstract.
We study the existence and multiplicity of positive solutions to p-Laplace equations where the nonlinear term depends on a p-power of the gradient. For this purpose we combine Picone’s identity, blow-up arguments, the strong maximum principle and Liouville-type theorems to obtain a priori estimates.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Leonelo Iturriaga: Partially supported by FONDECYT No 3060061 and FONDAP Matemáticas aplicadas, Chile
Sebastián Lorca: Supported by FONDECYT No 1080500.
Rights and permissions
About this article
Cite this article
Iturriaga, L., Lorca, S. & Sánchez, J. Existence and Multiplicity Results for the p-Laplacian with a p-Gradient Term. Nonlinear differ. equ. appl. 15, 729–743 (2008). https://doi.org/10.1007/s00030-008-0064-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00030-008-0064-8