Some rigidity results and asymptotic properties for solutions to semilinear elliptic P.D.E.

Rizzi, MatteoMatteoRizziSmyrnelis, PanayotisPanayotisSmyrnelis2025-11-132025-11-132024https://jlupub.ub.uni-giessen.de/handle/jlupub/20986https://doi.org/10.22029/jlupub-20335We will present some rigidity results for solutions to semilinear elliptic equations of the form Delta u= W'(u), where W is a quite general potential with a local minimum and a local maximum. We are particularly interested in Liouville-type theorems and symmetry results, which generalise some known facts about the Cahn-Hilliard equation.enNamensnennung 4.0 Internationalddc:510ddc:004Some rigidity results and asymptotic properties for solutions to semilinear elliptic P.D.E.