Mixed boundary value problems involving Sturm–Liouville differential equations with possibly negative coefficients

This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be negative. In particular, the existence of infinitely many distinct positive solutions to the given problem is obtained by using critical point theory.

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Veröffentlicht in:	Boundary value problems 2024-03, Vol.2024 (1), p.43-16, Article 43
Hauptverfasser:	Bonanno, Gabriele, D’Aguì, Giuseppina, Morabito, Valeria
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Boundary conditions Boundary value problems Chemical elements Critical point Critical point theory Difference and Functional Equations Differential equations Liouville equations Mathematics Mathematics and Statistics Nonlinear ordinary differential equations Ordinary Differential Equations Partial Differential Equations
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Beschreibung
Zusammenfassung:	This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be negative. In particular, the existence of infinitely many distinct positive solutions to the given problem is obtained by using critical point theory.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-024-01848-0