Solutions with Polynomial Growth to an Autonomous Nonlinear Elliptic Problem
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AbstractWe study the nonlinear elliptic problem-Δu = Fʹ (u) in ℝwhere F(u) is a periodic function. Moser (1986) showed that for any minimal and nonself-intersecting solution, there exist α ∈ ℝ(*) |u - α · x| ≤ C.He also showed the existence of solutions with any prescribed α ∈ ℝ
2010 ◽
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2019 ◽
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pp. 4835-4863
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