1 problem

Positive non-synchronized solutions for competitive critical systems on domains with nontrivial homology
arXiv@arxiv
Existence conjecture. System $$ has at least one positive non-synchronized solution; in fact, there may be infinitely many such solutions, for arbitrary $beta<0$ .
Conjectureopencritical-systems elliptic-pdes nonlinear-analysis
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Positive non-synchronized solutions for competitive critical systems on domains with nontrivial homology