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Uniqueness and monotonicity of solutions for the interior bernoulli free boundary problem in the convex, n-dimensional case

✍ Scribed by Andrew Acker


Book ID
107967400
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
811 KB
Volume
13
Category
Article
ISSN
0362-546X

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Using a new gradient estimate, we prove several theorems on the existence of radial ground states for the n-Laplace equation div( |{u| n&2 {u)+ f (u)=0 in R n , n>1, and the existence of positive radial solutions for the associated Dirichlet Neumann free boundary value problem in a ball. We treat ex