Remarks on least energy solutions for quasilinear elliptic problems in ℝN
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Date
2003-08-11
Authors
do O, Joao Marcos
Medeiros, Everaldo S.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Variational methods, Minimax methods, Superlinear elliptic problems, p-Laplacian, Ground-states, Mountain-pass solutions
Citation
do 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.
Rights
Attribution 4.0 International