| Full text | |
| Author(s): |
Andrade, Joao Henrique
;
Do O, Joao Marcos
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. N/A, p. 35-pg., 2023-05-23. |
| Abstract | |
We study qualitative properties for nonnegative solutions to a con formally invariant coupled system of fourth order equations involving critical exponents. For solutions defined in the punctured space, there exist essentially two cases to analyze. If the origin is a removable singularity, we use an integral moving spheres method to prove that non-singular solutions are rotationally invariant. More precisely, they are the product of a fourth order spherical solution by a unit vector with nonnegative coordinates. If the origin is a non removable singularity, we show that the solutions are radially symmetric and strongly positive. Furthermore, using a Pohozaev-type invariant, we prove the non-existence of semi-singular solutions, i.e., all components equally blow-up in the neighborhood of the origin. Namely, they are classified as multiples of the Emden-Fowler solution. (AU) | |
| FAPESP's process: | 20/07566-3 - Qualitative properties for higher order and non-local PDEs arising in Differential Geometry |
| Grantee: | João Henrique Santos de Andrade |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 21/15139-0 - Qualitative properties for fourth order PDEs arising in differential geometry |
| Grantee: | João Henrique Santos de Andrade |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |