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Abstract We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circle u ″ + u = g ( θ ) u − 1 (… Click to show full abstract
Abstract We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circle u ″ + u = g ( θ ) u − 1 ( u 2 + u ′ 2 ) ( 2 − k ) / 2 , θ ∈ S , for any given positive continuous function g ( θ ) with 2 π / m -periodic. We prove that it is solvable for all k ∈ ( 1 , + ∞ ) and m ∈ { 3 , 4 , 5 ⋯ } .
Keywords:
dual minkowski;
dimensional dual;
minkowski problem;
problem
Journal Title: Journal of Differential Equations
Year Published: 2017
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Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!