TY  - JOUR
ID  - Chen2013
LB  - Chen2013
AU  - Chen, Jianqing
AU  - Rocha, Eugénio M.
TI  - Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities
ST  - Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 2
SP  - 237
EP  - 354
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.2.237
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.2.237
AB  - For a class of sub-elliptic equations on Heisenberg group \(\mathbb{H}^N\) with Hardy type singularity and critical nonlinear growth, we prove the existence of least energy solutions by developing new techniques based on the Nehari constraint. This result extends previous works, e.g., by Han et al. [Hardy-Sobolev type inequalities on the H-type group, Manuscripta Math. 118 (2005), 235–252].
KW  - sub-elliptic equations
KW  - Heisenberg group
KW  - Least energy solutions
SN  - 1232-9274
ER  -