Abstract
Using the ‘monotone separation of graphs’ technique and the method in 8 (P. Pucci and J. Serrin, Uniqueness of ground states for quasilinear elliptic operators, Indiana Univ. Math. J. 47 (1998), pp. 501–528.), we extend the part results in [24] (P. Korman, Uniqueness and exact multiplicity of solutions for a class of Dirichlet problems, J. Differ. Equ. 244 (2008), pp. 2602–2613.) to the quasilinear elliptic equation.
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