Hardy inequalities for general elliptic operators with improvements

By Craig Cowan. 2008

51 citations recorded by the source corpus.

We obtain optimal generalized versions of Hardy inequalities, which as special cases contain Hardy's inequality and Hardy's inequality involving the distance function to the boundary of $ \Omega$. In addition we obtain neccesary and sufficient conditions to add improvements in the form of non negative potentials.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d71a555427d7942c5af90c095012748c33970e4a

Citations in the corpus

• Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds (2011, unknown): “[2], [10], [6], [1], [3], [12], [8], [13] and the references therein.”