| Full text | |
| Author(s): |
de Paiva, Francisco Odair
;
de Souza Lima, Sandra Machado
;
Miyagaki, Olimpio Hiroshi
Total Authors: 3
|
| Document type: | Journal article |
| Source: | APPLICABLE ANALYSIS; v. N/A, p. 28-pg., 2023-06-29. |
| Abstract | |
We consider the following class of elliptic problems -Delta(A)u + u = a lambda(chi)|u|(q-2)u + b(mu)(chi)|u(|p-2)u, x is an element of RN, where 1 < q < 2 < p < 2* = 2N/N-2 N >= 3, a(lambda)(x) is a sign-changing weight function, b(mu)(x) is continuous, lambda > 0 and mu > 0 are real parameters, u is an element of H-A(1) (R-N) and A : R-N -> R-N is a magnetic potential. Exploring the relationship between the Nehari manifold and fibering maps, we will discuss the existence, multiplicity and regularity of solutions. (AU) | |
| FAPESP's process: | 17/16108-6 - Elliptic problems by variational and topological methods |
| Grantee: | Francisco Odair Vieira de Paiva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/24901-3 - Critical nonlocal quasilinear problem: existence, multiplicity and properties of the solutions |
| Grantee: | Olimpio Hiroshi Miyagaki |
| Support Opportunities: | Regular Research Grants |