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Symmetrization results for classes of nonlinear elliptic equations with q-growth in the gradient

✍ Scribed by Basilio Messano

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
185 KB
Volume
64
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = H (x, u, Du)+g (x, u), where the principal term is a Leray-Lions operator defined on W 1,p 0 ( ). Comparison results are obtained between the rearrangement of a solution u of Dirichlet problem quoted above and the rearrangement of the solution of a problem whose data are radially symmetric.

πŸ“œ SIMILAR VOLUMES

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

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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