Localized radial solutions for a nonlinear p-Laplacian equation in $R^N$

S. Pudipeddi, University of North Texas, Denton, TX, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 20. (2008), pp. 1-23.

Abstract: We establish the existence of radial solutions to the p-Laplacian equation $ \Delta_p u + f(u)=0 $ in $\mathbb {R^N}$, where $f$ behaves like $|u|^{q-1}u$ when $u$ is large and $f(u) < 0$ for small positive $u$. We show that for each nonnegative integer $n$, there is a localized solution $u$ which has exactly $n$ zeros.

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