In this paper, we focus our attention on the positive solutions to second-order nonlinear ordinary differential equations of the form (Formula presented.), where (Formula presented.) is a sign-changing weight and (Formula presented.) is a superlinear function. We exploit the classical shooting approach and the comparison theorem to present non-degeneracy and exact multiplicity results for positive solutions. This completes the multiplicity results obtained by Feltrin and Zanolin. Numerical examples and some related open problems are also discussed.
Uniqueness, non-degeneracy, and exact multiplicity of positive solutions for superlinear elliptic problems
Feltrin G.;
2026-01-01
Abstract
In this paper, we focus our attention on the positive solutions to second-order nonlinear ordinary differential equations of the form (Formula presented.), where (Formula presented.) is a sign-changing weight and (Formula presented.) is a superlinear function. We exploit the classical shooting approach and the comparison theorem to present non-degeneracy and exact multiplicity results for positive solutions. This completes the multiplicity results obtained by Feltrin and Zanolin. Numerical examples and some related open problems are also discussed.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
