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Applications of variational identities to quasilinear elliptic differential equations

✍ Scribed by J McGough; K Schmitt

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
794 KB
Volume
32
Category
Article
ISSN
0895-7177

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✦ Synopsis

This paper investigates quasilinear elliptic equations of the form

where 0 is a bounded domain with smooth boundary whose geometry includes that of a starlike domain. We derive bounds for the solutions when f satisfies a supercritical growth condition and g a subcritical growth condition.

πŸ“œ SIMILAR VOLUMES

Reduction of quasilinear elliptic equati
Reduction of quasilinear elliptic equations in cylindrical domains with applications
✍ Alexander Mielke πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 646 KB

For certain types of semilinear partial differential equations in a cylindrical domain small bounded solutions are known to lie on a so-called centre manifold of finite dimension. In this paper we prove the result for quasilinear partial differential equations of elliptic and parabolic type. Possih