EXISTENCE OF SOLUTION OF SUB-ELLIPTIC EQUATIONS ON THE HEISENBERG GROUP WITH CRITICAL GROWTH AND DOUBLE SINGULARITIES
作者： Jianqing Chen , Eugénio M. Rocha
DOI: 10.7494/OPMATH.2013.33.2.237
关键词:
摘要: 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 least energy solutions by developing new techniques based Nehari constraint. This result extends previous works, e.g., Han et al. [Hardy-Sobolev inequalities H-type group, Manuscripta Math. 118 (2005), 235–252].
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