2 papers
math.AP2009
Hardy's Inequality from a Logarithmic Caccioppoli Estimate
Peter Lindqvist, Juan Manfredi
We give a simple proof of Hardy's inequality, based on the logarithmic Caccioppoli estimate for p-superharmonic functions in several variables.
math.AP2007
Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds
Sagun Chanillo, Juan J. Manfredi
We find sharp bounds for the norm inequality on a Pseudo-hermitian manifold, where the L^2 norm of all second derivatives of the function involving horizontal derivatives is contro…