| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844780 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 26 Pages |
Abstract
We consider the existence of entire solutions of a quasilinear elliptic equation div(|Du|p−2Du)=k(x)f(u),x∈RN, where p>1p>1, N∈NN∈N. Conditions of the existence of entire solutions have been obtained by different authors. We prove an optimality of some of these results and give new sufficient conditions for the nonexistence of entire solutions.
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Authors
Alexander Gladkov, Nickolai Slepchenkov,