Abstract
Assume that Q is a positive continuous function in ℝN and satisfies some suitable conditions. We prove that the quasilinear elliptic equation - Δ p u + | u | p - 2 u = Q (z) | u | q - 2 u in ℝN admits at least two solutions in ℝN (one is a positive ground-state solution and the other is a sign-changing solution).
| Original language | English |
|---|---|
| Article number | 673526 |
| Journal | International Journal of Differential Equations |
| Volume | 2010 |
| DOIs | |
| State | Published - 2010 |
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