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Elsevier, Nonlinear Analysis: Theory, Methods and Applications, 1(52), p. 219-237, 2003

DOI: 10.1016/s0362-546x(02)00104-9

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Nodal solutions for a sublinear elliptic equation

Journal article published in 2003 by Mikhaël Balabane, Jean Dolbeault ORCID, Hichem Ounaies
This paper is available in a repository.
This paper is available in a repository.

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Abstract

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