Classification of nonnegative classical solutions to third-order equations (Q1705479)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Classification of nonnegative classical solutions to third-order equations |
scientific article; zbMATH DE number 6850697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of nonnegative classical solutions to third-order equations |
scientific article; zbMATH DE number 6850697 |
Statements
Classification of nonnegative classical solutions to third-order equations (English)
0 references
15 March 2018
0 references
The authors are concerned with third-order equations with critical or subcritical nonlinearities. By applying the Kelvin transform and the method of moving planes to the third-order, they prove that nonnegative classical solutions are radially symmetric around some point and unique in the critical case. Moreover, they prove the non-existence of nontrivial nonnegative classical solutions in the subcritical cases. The results are interesting.
0 references
fractional Laplacians
0 references
radial symmetry
0 references
uniqueness
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
