Abstract
This paper deals with the following nonlinear equations Mλ,Λ±(D2u)+g(u)=0inRN,where Mλ,Λ± are the Pucci’s extremal operators, for N⩾1 and under the assumption g′(0)>0. We show the existence of oscillating solutions, namely with an unbounded sequence of zeros. Moreover these solutions are periodic, if N=1, while they are radial symmetric and decay to zero at infinity with their derivatives, if N⩾2.
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