A. E. Kogoj, S. Sonner
Published 2014-03-02, updated 2015-03-06Version 2
We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_\lambda$-Laplacians and find explicit values for the constants involved. Our results generalize previous inequalities obtained for Grushin type operators $$ \Delta_{x}+ |x|^{2\alpha}\Delta_{y},\qquad\ (x,y)\in\mathbb{R}^{N_1}\times\mathbb{R}^{N_2},\ \alpha\geq 0, $$ which were proved to be sharp.
Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators
Sharp spectral multipliers for a new class of Grushin type operators
Non-standard eigenvalue problems for perturbed $p$-Laplacians
![QR code for arXiv:1403.0215 [math.AP]](http://oss.arxitics.com/images/favicon.svg)