Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains
Ilaria Fragalà - Dipartimento di Matematica - Politecnico, Piazza Leonardo Da Vinci 32, 20133, Milano, Italy (email)
Abstract: 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  we improve some statements in .
Keywords: Anisotropic Sobolev spaces, critical exponents, a-starshaped domains,
Received: September 2004; Revised: May 2005; Published: September 2005.