Existence of solutions to (2,p)-Laplacian equations by Morse theory

Date

2017-07-21

Authors

Liang, Zhanping
Song, Yuanmin
Su, Jiabao

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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. <i>Electronic Journal of Differential Equations, 2017</i>(185), pp. 1-9.

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Attribution 4.0 International

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