Abstract
Under suitable hypotheses we obtain various theorems concerning the existence of positive solutions of the equation {Mathematical expression} in ℝn, where p>1 and Q(x) is a given potential. If Q is radially symmetric, our result is particularly simple and general. We also study symmetries of solutions of the above equation in a ball with the boundary condition u = 0.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 283-308 |
| Number of pages | 26 |
| Journal | Archive For Rational Mechanics And Analysis |
| Volume | 91 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1 1986 |