| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613222 | Journal of Differential Equations | 2008 | 35 Pages |
Abstract
We study the existence of singular solutions to the equation −div(|Du|p−2Du)=|u|q−1u under the form u(r,θ)=r−βω(θ), r>0, θ∈SN−1. We prove the existence of an exponent q below which no positive solutions can exist. If the dimension is 2 we use a dynamical system approach to construct solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
