This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain D of the Heisenberg group. Our approach is based on pure variational methods and locally sequentially weakly lower semicontinuous arguments.
Yamabe-Type Equations on Carnot Groups
Molica Bisci G
;
2017
Abstract
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain D of the Heisenberg group. Our approach is based on pure variational methods and locally sequentially weakly lower semicontinuous arguments.File in questo prodotto:
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