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
;
2017-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11576/2664358
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