Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589896 | Journal of Functional Analysis | 2015 | 20 Pages |
Abstract
Consider the equation div(φ(|∇u|)|∇u|∇u)=0 on the punctured unit ball from RNRN (N≥2N≥2), where φ is an odd, increasing homeomorphism from RR onto RR of class C1C1. Under reasonable assumptions on φ we prove that if u is a non-negative solution of our equation, then either 0 is a removable singularity of u or u behaves near 0 as the fundamental solution of the equation investigated here. In particular, our result complements to the case on nonhomogeneous operators in divergence form Bôcher's Theorem and some classical results by Serrin.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mihai Mihăilescu,