6533b823fe1ef96bd127f8e1
RESEARCH PRODUCT
Uniqueness of positive solutions to some Nonlinear Neumann Problems
Youyan WanChanglin Xiangsubject
osittaisdifferentiaaliyhtälötLiouville type theoremNeumann problemmoving plane methoddescription
Using the moving plane method, we obtain a Liouville type theorem for nonnegative solutions of the Neumann problem ⎧ ⎨ ⎩ div (ya∇u(x, y)) = 0, x ∈ Rn,y > 0, lim y→0+yauy(x, y) = −f(u(x, 0)), x ∈ Rn, under general nonlinearity assumptions on the function f : R → R for any constant a ∈ (−1, 1). peerReviewed
year | journal | country | edition | language |
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2017-01-01 |