An asymptotic monotonicity formula for minimizers of elliptic systems of Allen-Cahn type and the Liouville property
We prove an asymptotic monotonicity formula for bounded, globally minimizing solutions (in the sense of Morse) to a class of semilinear elliptic systems of the form $\Delta u= W_u(u)$, $x\in \mathbb{R}^n$, $n\geq 2$, with $W:\mathbb{R}^m\to \mathbb{R}$, $m\geq 1$, nonnegative and vanishing at ex...
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| Format: | Article |
| Language: | English |
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Texas State University
2021-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2021/04/abstr.html |