The uniqueness of some singular Kirchhoff equations with non-homogeneous material

Baoqiang Yan (), Donal O’Regan () and Ravi P. Agarwal ()
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Baoqiang Yan: Shandong Normal University
Donal O’Regan: National University of Ireland
Ravi P. Agarwal: Texas A and M University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 768-777

Abstract: Abstract In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper solution, we consider the existence and uniqueness of the positive solution of some singular Kirchhoff equations.

Keywords: Method of sub-supersolutions; Existence; Positive solutions; Kirchhoff equations; 35J15; 35J25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00516-w

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