Nodal solutions to a class of nonstandard superlinear equations on $\Bbb R^N$

Abstract

We investigate the existence of sign-changing radial solutions for a class of singular equations: $$-\Delta u(x)+ b(|x|)u(x) = |u(x)|^{\theta-1}u(x)+h(|x|)\hspace{1cm}x\in\mathbb R^N$$ where $b(|x|)$ may change sign and behaves like $|x|^{-\alpha}$ at infinity for some $\alpha\in(0,2)$, and $\theta>1$.

Article information

Source
Adv. Differential Equations Volume 7, Number 3 (2002), 297-318.

Dates
First available in Project Euclid: 27 December 2012

Conti, Monica; Terracini, Susanna; Verzini, Gianmaria. Nodal solutions to a class of nonstandard superlinear equations on $\Bbb R^N$. Adv. Differential Equations 7 (2002), no. 3, 297--318.https://projecteuclid.org/euclid.ade/1356651827