Year: 2009
Type: article
Abstract: We construct multi-bump nodal solutions of the elliptic equation in $H^1_0(\varOmega)$ , when μ is large, under appropriate assumptions, for f superlinear and subcritical and such that the eigenvalues of the associated linearized operator on $H^1_0(\{x\in\varOmega:a(x)>0\})$ at zero, u ↦ u − λ(−Δ)−1(a+u), are positive. The solutions are of least energy in some Nehari-type set defined by imposing suitable conditions on orthogonal components of functions in $H^1_0(\varOmega)$ .
Authors: Pedro M. Girão, José Maria Gomes
Institution: Instituto Superior Técnico
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2004448067