๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Quasilinear degenerate elliptic equation with absorption term

โœ Scribed by Toshio Horiuchi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
274 KB
Volume
47
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In connection with the generalized (p)-harmonic operator (1-2), we shall treat two topics in the present paper. Namely, the one is concerned with removable singularities of solutions for (1-3) and the other is the unique existence property of bounded solutions.

๐Ÿ“œ SIMILAR VOLUMES

Existence of solutions for degenerate qu
Existence of solutions for degenerate quasilinear elliptic equations
โœ Weilin Zou; Fengquan Li ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, โˆ‡u) = gdiv(f ), where a(x, u, โˆ‡u) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor