The Hardy inequalities

Overdetermined Hardy Inequalities

✍ Alois Kufner; Gordon Sinnamon 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 230 KB

Necessary and sufficient conditions on the weights w and w are given for the 0 higher order Hardy inequality 1r q 1rp p 1 1 q Ž k q 1 .

Generalized Hardy inequalities

✍ Beth Osikiewicz; Andrew Tonge 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 106 KB

## We show that the generalized Hardy inequality k=1 ⊂ N satisfies appropriate growth conditions dependent on r.

Weighted Hardy inequality

✍ V. D. Stepanov 📂 Article 📅 1988 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 172 KB

Optimizing Improved Hardy Inequalities

✍ Stathis Filippas; Achilles Tertikas 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 354 KB

Let O be a bounded domain in R N ; N 53, containing the origin. Motivated by a question of Brezis and V! a azquez, we consider an Improved Hardy Inequality with best constant b, that we formally write as: We first give necessary conditions on the potential V , under which the previous inequality ca

Some Hardy-Type Inequalities

✍ Wing-Sum Cheung; Željko Hanjš; Josip Pečarić 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 100 KB

In this paper, some new Hardy-type inequalities involving many functions are obtained. These on the one hand generalize and on the other hand improve some existing results by Isumi and Isumi, Levinson, and Pachpatte on this famous type of inequalities.

Perturbed Weighted Hardy Inequalities

✍ Peter Weidemaier; Gord Sinnamon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 182 KB