Research Article
Study of weak solutions for a p(x)-Kirchhoff type variation-inequality problems arising from financial problems
https://doi.org/10.21203/rs.3.rs-2452026/v1
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In this paper, we study variation-inequality initial-boundary value problems with variable parameter Kirchhoff operators. We constructed a map suitable for the Leray-Schauder principle in which the existence of solution is proved. The uniqueness and stability of the solution are also analyzed under a smallness condition on the parameter of Kirchhoff operators.
Mathematics Subject Classification 2010: 35K99, 97M30.
Parabolic Variation-inequality problems
Kirchhoff operator
Leray-Schauder principle
Existence
Uniqueness
Stability
No competing interests reported.
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