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(p, N) equations with critical exponential nonlinearities in R-N

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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