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 โ gradient estimate for solutions of an elliptic equation, whose ellipticity constants become
โฆ LIBER โฆ
Compactness Methods for Certain Degenerate Elliptic Equations
โ Scribed by L. Wang
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 269 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0022-0396
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This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, โu) = gdiv(f ), where a(x, u, โu) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor