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. The main approach is based on variational methods.

Nonlinear elliptic equations on Carnot groups

Molica Bisci G;
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. The main approach is based on variational methods.
2017
Subelliptic equation
Carnot group
Weak solution
Critical point result
Heisenberg group
Folland-Stein space
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12078/28413
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