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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© 1989 Springer-Verlag Berlin Heidelberg
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Ding, WY., Ni, WM. (1989). On the Existence of Positive Entire Solutions of a Semilinear Elliptic Equation. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_2
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DOI: https://doi.org/10.1007/978-3-642-83743-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50917-2
Online ISBN: 978-3-642-83743-2
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