Liang, ZhanpingSong, YuanminSu, Jiabao2022-06-082022-06-082017-07-21Liang, 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. 1-9.1072-6691https://hdl.handle.net/10877/15879In 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.Text9 pages1 file (.pdf)enAttribution 4.0 International(2,p)-Laplacian equationMorse theoryArticle