We consider weak solutions to -Δu = f(u) on Ω1Ω0, with u = c ≥ 0 in Ω 1 and u = + on Ω 0, and we prove monotonicity properties of the solutions via the moving plane method. We also prove the radial symmetry of the solutions in the case of annular domains.
On the moving plane method for boundary blow-up solutions to semilinear elliptic equations
Canino, Annamaria;Sciunzi, Berardino;Trombetta, Alessandro
2018-01-01
Abstract
We consider weak solutions to -Δu = f(u) on Ω1Ω0, with u = c ≥ 0 in Ω 1 and u = + on Ω 0, and we prove monotonicity properties of the solutions via the moving plane method. We also prove the radial symmetry of the solutions in the case of annular domains.File in questo prodotto:
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