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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Bibliographic Details
Published in:Boundary value problems 2024-03, Vol.2024 (1), p.43-16, Article 43
Main Authors: Bonanno, Gabriele, D’Aguì, Giuseppina, Morabito, Valeria
Format: Article
Language:English
Subjects:
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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Description
Summary: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