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Non-Uniformly Elliptic Equations with Natural Growth in the Gradient

✍ Scribed by Cristina Trombetti

Book ID
110412266
Publisher
Springer Netherlands
Year
2003
Tongue
English
Weight
107 KB
Volume
18
Category
Article
ISSN
0926-2601

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πŸ“œ SIMILAR VOLUMES

A singular nonlinear elliptic equation w
A singular nonlinear elliptic equation with natural growth in the gradient
✍ Wen-Shu Zhou πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 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 πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 French βš– 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 Β΅|u| -1 Β΅ sign(u) belongs to W 1,p 0 (Ω), where Β΅ is some constant, then u is actually HΓΆlder continuous. Then the same resul