In this paper we prove the validity of Gibbons’ conjecture for the quasilinear elliptic equation - Δ pu= f(u) on RN. The result holds true for (2 N+ 2) / (N+ 2) < p< 2 and for a very general class of nonlinearity f.
On the Gibbons’ conjecture for equations involving the p-Laplacian
F. Esposito;L. Montoro;B. Sciunzi
2022-01-01
Abstract
In this paper we prove the validity of Gibbons’ conjecture for the quasilinear elliptic equation - Δ pu= f(u) on RN. The result holds true for (2 N+ 2) / (N+ 2) < p< 2 and for a very general class of nonlinearity f.File in questo prodotto:
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