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arXiv · 1707.05742

On the structure of radial solutions for some quasilinear elliptic equations

Andrea Sfecci
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Abstract

In this paper we study entire radial solutions for the quasilinear $p$-Laplace equation $\Delta_p u + k(x) f(u) = 0$ where $k$ is a radial positive weight and the nonlinearity behaves e.g. as $f(u)=u|u|^{q-2}-u|u|^{Q-2}$ with $q<Q$. In particular we focus our attention on solutions (positive and sign changing) which are infinitesimal at infinity, thus providing an extension of a previous result by Tang (2001).

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Andrea Sfecci. 2017-07-18. On the structure of radial solutions for some quasilinear elliptic equations. https://doi.org/10.1016/j.jmaa.2018.10.019

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