A Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems
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resultsystemsboundedclassellipticentireliouvillesemilinear
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We prove a Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems, based on the growth of their potential energy over balls with growing radius. Important special cases to which our result applies are the Ginzburg-Landau system and systems that arise in the study of multi-phase transitions.
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