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Distant Perturbations of the Laplacian in a Multi-Dimensional Space

✍ Scribed by Denis I. Borisov

Publisher
Springer
Year
2007
Tongue
English
Weight
371 KB
Volume
8
Category
Article
ISSN
1424-0637

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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