Dynamics of autonomous and nonautonomous semilinear problems
Prescribed elliptical problems, without symmetry in the RN and in unlimited domain...
Systems of partial differential equations and nonlinear elliptic equations
| Full text | |
| Author(s): |
Fiscella, Alessio
;
Pucci, Patrizia
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 501, n. 1, p. 25-pg., 2021-05-13. |
| Abstract | |
The paper deals with the existence of nontrivial solutions for (p, N) equations in R-N with critical exponential growth. The main features and novelty of the paper are the (p, N) growth of the elliptic operator, combined with the double lack of compactness. In order to state a multiplicity result, we introduce a tricky step analysis based on the application of a completely new Brezis and Lieb type lemma for exponential nonlinearities. (C) 2019 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 17/19752-3 - Fractional problems with lack of compactness |
| Grantee: | Alessio Fiscella |
| Support Opportunities: | Regular Research Grants |