# American Institute of Mathematical Sciences

2005, 2005(Special): 280-286. doi: 10.3934/proc.2005.2005.280

## Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains

 1 Dipartimento di Matematica - Politecnico, Piazza Leonardo Da Vinci 32, 20133, Milano 2 Dipartimento di Matematica Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy 3 Department of Mathematics, Iowa State University, Ames, IA 50011, United States

Received  September 2004 Revised  May 2005 Published  September 2005

For a class of anisotropic elliptic problems in bounded domains $\Omega$ we show that the convexity of $\Omega$ plays an important role in regularity and nonexistence results. Using recent results in [9] we improve some statements in [3].
Citation: Ilaria Fragalà, Filippo Gazzola, Gary Lieberman. Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Conference Publications, 2005, 2005 (Special) : 280-286. doi: 10.3934/proc.2005.2005.280
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