We investigate the existence of sign-changing radial solutions for a class of singular equations: -δu(x) + b(|x|)u(x) = |u(x)|θ-1u(x) + h(|x|) x ∈ ℝN where b(|x|) may change sign and behaves like |x|-α at infinity for some α ∈ (0, 2), and θ > 1.
Conti, M., Terracini, S., Verzini, G. (2002). Nodal solutions to a class of nonstandard superlinear equations on $\Bbb R\sp N$. ADVANCES IN DIFFERENCE EQUATIONS, 7(3), 297-318.
Nodal solutions to a class of nonstandard superlinear equations on $\Bbb R\sp N$
TERRACINI, SUSANNA;
2002
Abstract
We investigate the existence of sign-changing radial solutions for a class of singular equations: -δu(x) + b(|x|)u(x) = |u(x)|θ-1u(x) + h(|x|) x ∈ ℝN where b(|x|) may change sign and behaves like |x|-α at infinity for some α ∈ (0, 2), and θ > 1.
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