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

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

Ilaria Fragalà 1, , Filippo Gazzola 2, and  Gary Lieberman 3,

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].
Keywords: Anisotropic Sobolev spaces, critical exponents, a-starshaped domains, Poho·zaev identity..
Mathematics Subject Classification: Primary: 35J70, 46E35; Secondary: 35B6.
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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