𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Singular Boundary Value Problems for the Monge–Ampére Operator

✍ Scribed by A.C. Lazer; P.J. McKenna

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
241 KB
Volume
197
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

We consider different types of singular boundary value problems for the Monge᎐Ampere operator. The approach is based on existing regularity theory and á subsolution᎐supersolution method. Nonexistence and uniqueness results are also given.

📜 SIMILAR VOLUMES

A Singular Boundary Value Problem for th
A Singular Boundary Value Problem for the One-Dimensionalp-Laplacian
✍ Junyu Wang; Wenjie Gao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 164 KB

The singularity may appear at u s 0 and at t s 0 or t s 1 and the function f may be discontinuous. The authors prove that for any p ) 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the abovementioned problem has a unique sol

The generalized Thomas–Fermi singular bo
The generalized Thomas–Fermi singular boundary value problems for neutral atoms
✍ Ravi P. Agarwal; Donal O'Regan; Panos K. Palamides 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 137 KB

## Abstract This paper presents an upper and lower solution theory for singular boundary value problems modelling the Thomas–Fermi equation, subject to a boundary condition corresponding to the neutral atom with Bohr radius equal to its existence interval. Furthermore, we derive sufficient conditio