Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841224 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 15 Pages |
Abstract
We are concerned with the uniqueness result of positive solutions for a class of quasilinear elliptic equation arising from plasma physics. We convert a quasilinear elliptic equation into a semilinear one and show the unique existence of positive radial solution for original equation under the suitable conditions on the power of nonlinearity and quasilinearity. We also investigate the non-degeneracy of a positive radial solution for a converted semilinear elliptic equation.
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Authors
Shinji Adachi, Tatsuya Watanabe,