#2352. On a critical and a supercritical system with fast increasing weights

August 2026publication date
Proposal available till 30-05-2025
4 total number of authors per manuscript3000 $

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Journal’s subject area:
Economics, Econometrics and Finance (all);
Analysis;
Applied Mathematics;
Computational Mathematics;
Engineering (all);
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Abstract:
We consider the system [Formula presented] where 2?=2N/(N?2), N?3, K(x)=exp|x|2/4 and Q and H are homogeneous functions with H having critical growth. We obtain existence of a ground state solution using variational methods. We also prove a existence result for a supercritical version of the above system.
Keywords:
Elliptic critical or supercritical systems; Self-similar solutions

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