Zhao, JunfangLiu, XiangqingLiu, Jiaquan2021-11-292021-11-292019-07-16Zhao, J., Liu, X., & Liu, J. (2019). Existence of infinitely many solutions of p-Laplacian equations in R^N+. <i>Electronic Journal of Differential Equations, 2019</i>(87), pp. 1-20.1072-6691https://hdl.handle.net/10877/14975In this article, we study the p-Laplacian equation -∆pu = 0, in ℝN+, |∇u|p-2 ∂u/∂n + α(y)|u|p-2u = |u|q-2u, on ∂ℝN+ = ℝN-1, where 1 < p < N, p < q < p̄ = (N - 1)p/ N - p, ∆p = div(|∇u|p-2∇u) the p-Laplacian operator, and the positive, finite function α(y) satisfies suitable decay assumptions at infinity. By using the truncation method, we prove the existence of infinitely many solutions.Text20 pages1 file (.pdf)enAttribution 4.0 Internationalp-Lalacian equationHalf spaceBoundary value problemMultiple solutionsTruncation methodArticle