Localized solutions of elliptic equations: loitering at the hilltop

J. A. Iaia, University of North Texas, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 12. (2006), pp. 1-15.

Abstract: We find an infinite number of smooth, localized, radial solutions of $\Delta_{p} u + f(u) = 0$ in ${\Bbb R}^{N}$ - one with each prescribed number of zeros - where $\Delta_{p}u$ is the $p$-Laplacian of the function $u$.

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