We will present some rigidity results for solutions to semilinear elliptic equations of the form Δu=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.
No takes yet. Share an insight, caveat, or question.
Rizzi et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: