A topological approach to superlinear indefinite boundary value problems

Duccio Papini, Fabio Zanolin
2000 Topological Methods in Nonlinear Analysis  
We obtain the existence of infinitely many solutions with prescribed nodal properties for some boundary value problems associated to the second order scalar equationẍ + q(t)g(x) = 0, where g(x) has superlinear growth at infinity and q(t) changes sign. 2000 Mathematics Subject Classification. 34B15, 34C25.
doi:10.12775/tmna.2000.017 fatcat:vetz7ijv4vfdfe2w6uy4ffytd4