Abstract

We derive conditions on the function c : Rn → R which guarantee that the PDE with p-Laplacian div (❘∇ u❘p-2∇ u ) + c(x)❘u❘p-2u =0, p >1, has no positive solution either in Rn or in the domain Omega_r :={x ∈ Rn : ❘x❘ ≧r} with r arbitrarily large.

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