On nonnegative entire solutions of second-order semilinear elliptic systems
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We consider the second-order semilinear elliptic system ∆ui = Pi(x) u αi i+1 in ℝN, i = 1, 2, ..., m with nonnegative continuous functions Pi. We establish nonexistence criteria of nonnegative nontrivial entire solutions for this system. We also proved a Liouville type theorem for nonnegative entire solutions.
CitationTeramoto, T. (2003). On nonnegative entire solutions of second-order semilinear elliptic systems. Electronic Journal of Differential Equations, 2003(94), pp. 1-22.
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