Some rigidity results and asymptotic properties for solutions to semilinear elliptic P.D.E.
Loading...
Date
Authors
Advisors/Reviewers
Further Contributors
Contributing Institutions
Publisher
Journal Title
Journal ISSN
Volume Title
Publisher
License
Quotable link
DOI:
https://doi.org/10.22029/jlupub-20335Abstract
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.Link to publications or other datasets
Description
Notes
Original publication in
Nonlinear analysis. Theory, methods & applications 247 (2024), 113610