The paper deals with the existence of nontrivial solutions for (p,N) equations in RN 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 Brézis and Lieb type lemma for exponential nonlinearities.
Fiscella, A., Pucci, P. (2021). (p,N) equations with critical exponential nonlinearities in RN. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 501(1) [10.1016/j.jmaa.2019.123379].
(p,N) equations with critical exponential nonlinearities in RN
Fiscella A
;
2021
Abstract
The paper deals with the existence of nontrivial solutions for (p,N) equations in RN 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 Brézis and Lieb type lemma for exponential nonlinearities.
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