Optimization problems on nodes of Sturm–Liouville operators with $$L^p$$ potentials

Chu, Jifeng; Meng, Gang; Wang, Feng; Zhang, Meirong

doi:10.1007/s00208-023-02784-7

Math. Ann.

2024

DOI: 10.1007/s00208-023-02784-7

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Optimization problems on nodes of Sturm–Liouville operators with $$L^p$$ potentials

Jifeng Chu,

Gang Meng,

Feng Wang

et al.

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Cited by 2 publications

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Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional p-Laplacian

Chu,

Meng,

Wang

et al. 2025

Journal of Differential Equations

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Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional p-Laplacian

Chu,

Meng,

Wang

et al. 2025

Journal of Differential Equations

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Solving the boundary value problem of the first-order measure differential equations

Cai,

Xia

2024

Proc. Amer. Math. Soc.

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This article is to develop a method to solve the boundary value problems of the first-order measure differential equations in the space of bound-ed variation functions. Firstly, we obtain the solution and Green’s function by applying the integration by parts. Secondly, the criterion for the existence of solution is given by using fixed point theorem and regularization theory. Finally, an example is provided to validate these conclusions.

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Optimization problems on nodes of Sturm–Liouville operators with $$L^p$$ potentials

Cited by 2 publications

References 31 publications

Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional p-Laplacian

Complete continuity and Fréchet derivatives of nodes in potentials for one-dimensional p-Laplacian

Solving the boundary value problem of the first-order measure differential equations

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