𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Partial differential equations involving subcritical, critical and supercritical nonlinearities

✍ Scribed by Sebastián Lorca; Pedro Ubilla

Book ID
103847066
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
222 KB
Volume
56
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

We establish the existence of at least one nonnegative solution for the problem

where a and f satisfy conditions near zero. Here the novelty is that we do not need restrictions on the nonlinearities at inÿnity. Therefore, we can consider subcritical, critical and supercritical cases.

📜 SIMILAR VOLUMES

The obstacle problem and partial differe
The obstacle problem and partial differential equations with discontinuous nonlinearities
✍ K. C. Chang 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 926 KB

Many free boundary problems may be reduced to boundary value problems (BVP) of some partial differential equations (PDE) with discontinuous nonlinearities (DNDE), and make them manageable; in view of this we consider the latter systematically. Some papers on this topic have appeared;