| Full text | |
| Author(s): |
de Paiva, Francisco Odair
;
de Souza Lima, Sandra Machado
;
Miyagaki, Olimpio Hiroshi
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ANALYSIS IN THEORY AND APPLICATIONS; v. 38, n. 2, p. 30-pg., 2022-01-01. |
| Abstract | |
In this work we consider the following class of elliptic problems {-Delta Au + u = a(x)vertical bar u vertical bar(q-2)u + b(x) vertical bar u vertical bar(p-2)u in R-N, (P) u is an element of H-A(1)(R-N), with 2 < q < p < 2* = 2N/N-2, a(x) and b(x) are functions that can change sign and satisfy some additional conditions; u is an element of H-A(1) (RN) and A : R-N -> R-N is a magnetic potential. Also using the Nehari method in combination with other complementary arguments, we discuss the existence of infinitely many solutions to the problem in question, varying the assumptions about the weight functions. (AU) | |
| 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 |
| FAPESP's process: | 17/16108-6 - Elliptic problems by variational and topological methods |
| Grantee: | Francisco Odair Vieira de Paiva |
| Support Opportunities: | Regular Research Grants |