Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841080 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 6 Pages |
Abstract
We consider the quasi-linear eigenvalue problem −Δpu=λg(u)−Δpu=λg(u) subject to Dirichlet boundary conditions on a bounded open set ΩΩ, where gg is a locally Lipschitz continuous function. Imposing no further conditions on ΩΩ or gg, we show that for λλ near zero the problem has a bounded solution which is unique in the class of all small solutions. Moreover, this curve of solutions parameterized by λλ depends continuously on the parameter.
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Authors
Robin Nittka,