Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620469 | Journal of Mathematical Analysis and Applications | 2009 | 13 Pages |
Abstract
We prove that the p(x)-Ginzburg–Landau type minimizers converge to the p(x)-harmonic maps. The location of zeros of the minimizers is presented in the case of p(x)∈(1,2). When p(x)>2, there exists no zero of the minimizers in the domain. In addition, the convergence rate of the modulus of the minimizers to 1 is estimated.
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