Existence of solutions to (2,p)-Laplacian equations by Morse theory
Date
2017-07-21
Authors
Liang, Zhanping
Song, Yuanmin
Su, Jiabao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we use Morse theory to investigate a type of Dirichlet boundary value problem related to the (2, p)-Laplacian operator, where the nonlinear term is characterized by the first eigenvalue of the Laplace operator. The investigation is heavily based on a new decomposition about the Banach space W1,p0(Ω), where Ω ⊂ ℝN (N ≥ 1) is a bounded domain with smooth enough boundary.
Description
Keywords
(2,p)-Laplacian equation, Morse theory
Citation
Liang, Z., Song, Y., & Su, J. (2017). Existence of solutions to (2,p)-Laplacian equations by Morse theory. Electronic Journal of Differential Equations, 2017(185), pp. 1-9.
Rights
Attribution 4.0 International