| Full text | |
| Author(s): |
De Paiva, Francisco Odair
;
Lima, Sandra Machado De Souza
;
Miyagaki, Olimpio Hiroshi
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Electronic Journal of Differential Equations; v. 2023, n. 47, p. 16-pg., 2023-07-11. |
| Abstract | |
. We consider the elliptic problem -& UDelta;Au + u = a & lambda;(x)|u|q-2u + b & mu;(x)|u|p-2u, for x & ISIN; RN, 1 < q < 2 < p < 2* = 2N/(N - 2), a & lambda;(x) is a sign-changing weight function, b & mu;(x) satisfies some additional conditions, u & ISIN; H1A(RN) and A : RN & RARR; RN is a magnetic potential. Exploring the Bahri-Li argument and some preliminary results we will discuss the existence of a four nontrivial solutions to the problem in question. (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 |