We obtain the existence of infinitely many solutions with prescribed nodal properties for some boundary value problems associated to the second order scalar equation x''+q(t)g(x)=0, where g(x) has superlinear growth at infinity and q(t) changes sign.
A topological approach to superlinear indefinite boundary value problems / Papini, Duccio; Zanolin, Fabio. - In: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. - ISSN 1230-3429. - 15:2(2000), pp. 203-233.
A topological approach to superlinear indefinite boundary value problems
PAPINI, Duccio;
2000
Abstract
We obtain the existence of infinitely many solutions with prescribed nodal properties for some boundary value problems associated to the second order scalar equation x''+q(t)g(x)=0, where g(x) has superlinear growth at infinity and q(t) changes sign.File | Dimensione | Formato | |
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