Remarks on least energy solutions for quasilinear elliptic problems in ℝN
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In 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.
Citationdo O, J. M., & Medeiros, E. S. (2003). Remarks on least energy solutions for quasilinear elliptic problems in ℝN. Electronic Journal of Differential Equations, 2003(83), pp. 1-14.
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