ENERGY CONCENTRATION PROPERTIES OF A p-GINZBURG–LANDAU MODEL
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Abstract This paper is concerned with the p-Ginzburg–Landau (p-GL) type model with $p\neq 2$ . First, we obtain global energy estimates and energy concentration properties by the singularity analysis. Next, we give a decay rate of $1-|u_\varepsilon |$ in the domain away from the singularities when $\varepsilon \to 0$ , where $u_\varepsilon $ is a minimizer of p-GL functional with $p \in (1,2)$ . Finally, we obtain a Liouville theorem for the finite energy solutions of the p-GL equation on $\mathbb {R}^2$ .
1995 ◽
Vol 6
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pp. 97-114
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2008 ◽
Vol 49
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pp. 102902
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1994 ◽
Vol 74
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pp. 705-742
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2002 ◽
Vol 181
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pp. 45-67
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2017 ◽
Vol 110
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pp. 49-56
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2001 ◽
Vol 80
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pp. 339-372
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