This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bounded domain D of the Heisenberg group Hn= Cn× R. The main approach is based on variational methods.
Nonlinear elliptic equations on Carnot groups
FERRARA, MassimilianoMethodology
;
2017-01-01
Abstract
This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bounded domain D of the Heisenberg group Hn= Cn× R. The main approach is based on variational methods.File in questo prodotto:
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