Nodal solutions for a sublinear elliptic equation

Ounaies, Hichem; Dolbeault, Jean; Balabane, Mikhaël

Ounaies, Hichem; Dolbeault, Jean; Balabane, Mikhaël (2003), Nodal solutions for a sublinear elliptic equation, Nonlinear Analysis: Theory, Methods & Applications, 52, 1, p. 219-237. http://dx.doi.org/10.1016/S0362-546X(02)00104-9

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Type

Article accepté pour publication ou publié

Date

2003

Journal name

Nonlinear Analysis: Theory, Methods & Applications

Volume

Number

Publisher

Elsevier

Pages

219-237

Abstract (EN)

We consider radial solutions of Δu+u−|u|−2θu=0 in Image with d>1, Image and prove by a shooting method the existence of compactly supported solutions with any given number of nodes.

Subjects / Keywords

Winding number; Hamiltonian systems; Shooting; Nodal solutions