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Gradient estimates in Orlicz spaces for quasilinear elliptic equation

✍ Scribed by Fengping Yao; Yu Sun; Shulin Zhou

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
307 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we generalize classical L q , q β‰₯ p, estimates of the gradient to the Orlicz space for weak solutions of quasilinear elliptic equations of p-Laplacian type.

πŸ“œ SIMILAR VOLUMES

Global gradient estimates for solutions
Global gradient estimates for solutions to a certain degenerate elliptic equation
✍ L. Brasco πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 311 KB

In view of the applications in the study of regularity properties of minimizers for a continuous model of transportation, which is a kind of divergence-constrained optimization problem, we prove a global L ∞ gradient estimate for solutions of an elliptic equation, whose ellipticity constants become