Nonlinear elliptic equations having a gradient term with natural growth
✍ Scribed by A. Porretta; S. Segura de León
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 288 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0021-7824
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## 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
We prove approximation and compactness results in inhomogeneous Orlicz-Sobolev spaces and look at, as an application, the Cauchy-Dirichlet equation u +A(u)+g(x, t, u, ∇u)=f ∈ W -1,x E M , where A is a Leray-Lions operator having a growth not necessarily of polynomial type. We also give a trace resul
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