do O, Joao MarcosMedeiros, Everaldo S.2021-01-082021-01-082003-08-11do O, J. M., & Medeiros, E. S. (2003). Remarks on least energy solutions for quasilinear elliptic problems in ℝN. <i>Electronic Journal of Differential Equations, 2003</i>(83), pp. 1-14.1072-6691https://hdl.handle.net/10877/13091In this work we establish some properties of the solutions to the quasilinear second-order problem -∆pw = g(w) in ℝN where ∆pu = div(|∇u|p-2 ∇u) is the p-Laplacian operator and 1 < p ≤ N. We study a mountain pass characterization of least energy solutions of this problem. Without assuming the monotonicity of the function t1-pg(t), we show that the Mountain-Pass value gives the least energy level. We also prove the exponential decay of the derivatives of the solutions.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalVariational methodsMinimax methodsSuperlinear elliptic problemsp-LaplacianGround-statesMountain-pass solutionsArticle