𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear balayage on metric spaces

✍ Scribed by Anders Björn; Jana Björn; Tero Mäkäläinen; Mikko Parviainen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
1019 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

We develop a theory of balayage on complete doubling metric measure spaces supporting a Poincaré inequality. In particular, we are interested in continuity and p-harmonicity of the balayage. We also study connections to the obstacle problem. As applications, we characterize regular boundary points and polar sets in terms of balayage.

📜 SIMILAR VOLUMES

On nonlinear quasi-contractions on TVS-c
On nonlinear quasi-contractions on TVS-cone metric spaces
✍ Ivan D. Aranđelović; Dragoljub J. Kečkić 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 221 KB

In this paper we present fixed point theorem for nonlinear quasi-contractive mappings defined on TVS-cone metric space, which generalizes earlier results obtained by Ilić and Rakočević [D.

On fuzzy metric spaces
On fuzzy metric spaces
✍ Osmo Kaleva; Seppo Seikkala 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 555 KB
On fuzzy metric spaces
On fuzzy metric spaces
✍ Kankana Chakrabarty; Ranjit Biswas; Sudarsan Nanda 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 251 KB

In the present paper, the authors define F-open sets, F-closed sets, F-adherent points, F-limit points, F-isolated points, F-isolated sets, F-derived sets, F-closures, F-interior points, F-interior, F-exterior points, F-exterior, F-everywhere dense sets, F-nowhere dense sets and make some characteri