Abstract
Under suitable hypotheses we obtain various theorems concerning the existence of positive solutions of the equation
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.
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Dedicated to James Serrin on the occasion of his sixtieth birthday
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Ding, WY., Ni, WM. On the existence of positive entire solutions of a semilinear elliptic equation. Arch. Rational Mech. Anal. 91, 283–308 (1986). https://doi.org/10.1007/BF00282336
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DOI: https://doi.org/10.1007/BF00282336