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Nonlinear elliptic equations with natural growth in general domains

✍ Scribed by A. Dall’Aglio; D. Giachetti; J.-P. Puel

Book ID
106299585
Publisher
Springer
Year
2002
Tongue
English
Weight
165 KB
Volume
181
Category
Article
ISSN
0373-3114

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📜 SIMILAR VOLUMES

A singular nonlinear elliptic equation w
A singular nonlinear elliptic equation with natural growth in the gradient
✍ Wen-Shu Zhou 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB

## Abstract This paper is devoted to the existence and regularity of the homogenous Dirichlet boundary value problem for a singular nonlinear elliptic equation with natural growth in the gradient. By certain transformations, the problem can be transformed formally into either a Dirichlet problem or

Regularity for solutions of nonlinear el
Regularity for solutions of nonlinear elliptic equations with natural growth in the gradient
✍ Francesco Chiacchio 📂 Article 📅 2000 🏛 Elsevier Science 🌐 French ⚖ 115 KB

The aim of this paper is to study the regularity of the solutions of problems like (1). The main result is to show that if u is a solution of (1) such that the function w = e µ|u| -1 µ sign(u) belongs to W 1,p 0 (Ω), where µ is some constant, then u is actually Hölder continuous. Then the same resul