We study the nonexistence of weak solutions in for a class of quasilinear elliptic boundary-value problems with natural growth in the gradient. Nonsolvability conditions involve general domains with possible singularities of the right-hand side. In particular, we show that if the data on the right-hand side are sufficiently large, or if inner radius of is large, then there are no weak solutions.
Submitted April 17, 2002. Published June 11, 2002.
Math Subject Classifications: 35J25, 35J60, 45J05.
Key Words: Quasilinear elliptic, existence, nonexistence, geometry of domains.
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