6533b823fe1ef96bd127f8e1

RESEARCH PRODUCT

Uniqueness of positive solutions to some Nonlinear Neumann Problems

Youyan WanChanglin Xiang

subject

osittaisdifferentiaaliyhtälötLiouville type theoremNeumann problemmoving plane method

description

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

http://urn.fi/URN:NBN:fi:jyu-201708043415