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- Title
Some properties and applications related to the $(2,p)$-Laplacian operator.
- Authors
Liang, Zhanping; Han, Xixi; Li, Anran
- Abstract
In this paper, we give some properties about the $(2,p)$-Laplacian operator ( $p>1$, $p\ne2$), and consider the existence of solutions to two kinds of partial differential equations related to the $(2,p)$-Laplacian operator by those properties. Specifically, we establish an existence result of positive solutions using fixed point index theory and an existence result of nodal solutions via the quantitative deformation lemma.
- Subjects
LAPLACIAN operator; PARTIAL differential equations; FIXED point theory; NODAL analysis; MATHEMATICAL analysis; MATHEMATICAL research
- Publication
Boundary Value Problems, 2016, Vol 2016, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-016-0567-x