Low dimensional instability for quasilinear problems of weighted exponential nonlinearity

Phuong Le

Mathematische Nachrichten, 2018, vol. 291, issue 14-15, 2288-2297

Abstract: We prove a sharp Liouville type theorem for stable Wloc1,p solutions of the equation −Δpu=f(x)euon the entire Euclidean space RN, where p>2 and f is a continuous and nonnegative function in RN∖{0} such that f(x)≥a|x|q as |x|≥R0>0, where q>−p and a>0. Our theorem holds true for 2≤N

Date: 2018
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