We 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.
Some rigidity results and asymptotic properties for solutions to semilinear elliptic P.D.E
Rizzi M.;
2024-01-01
Abstract
We 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.File in questo prodotto:
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