Abstract
We prove the existence and uniqueness of fast decay solutions and clarify the structure of positive radial solutions of the quasilinear elliptic equation Δmu+f(u)=0 in Rn, where Δm denotes the m-Laplace operator, and f has a supercritical growth for small u>0 and a subcritical growth for large u. Our proofs use only elementary arguments based on several variational identities and a maximum principle of Peletier and Serrin.
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