Strong Unique Continuation for Solutions of a p(x)-Laplacian Problem
We study the strong unique continuation property for solutions to the quasilinear elliptic equation -div(|∇u|p(x)-2∇u)+V(x)|u|p(x)-2u=0 in Ω where V(x)∈LN/p(x)(Ω), Ω is a smooth bounded domain in ℝN, and 1<p(x)<N for x in Ω.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/108671 |