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Coupled elliptic systems in R-N with (p, N) Laplacian and critical exponential nonlinearities

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Author(s):
Chen, Sitong ; Fiscella, Alessio ; Pucci, Patrizia ; Tang, Xianhua
Total Authors: 4
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 201, p. 14-pg., 2020-12-01.
Abstract

The paper deals with the existence of nonnegative solutions for (p, N) systems in R-N involving critical exponential growth nonlinearities. The constructed solution has both components nontrivial and different, that is it solves the actual system, which does not reduce into an equation. The main feature and novelty of the paper is the presence of a general coupled critical exponential term of the Trudinger-Moser type, set in R-N. (C) 2020 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 19/02512-5 - Systems and partial differential equations
Grantee:Marcelo da Silva Montenegro
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/23917-3 - Operator with non standard growth
Grantee:Alessio Fiscella
Support Opportunities: Regular Research Grants