@article{Zhao2026, 
author = {Qingjun Zhao},
title = {Existence and uniqueness of solutions to variational inequalities involving a double-phase degenerate parabolic operator with variable exponents arising from American put option valuation analysis},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {2},
pages = {1063-1078},
keywords = {variational inequalities, American put option, double-phase degenerate parabolic operator with variable exponents, existence, uniqueness},
url = {https://www.sciopen.com/article/10.3934/era.2026049},
doi = {10.3934/era.2026049},
abstract = {This paper analyzes a class of variational inequalities involving a double-phase degenerate parabolic operator with variable exponents, which arises in the valuation of American put options. By establishing energy estimates for the associated penalty problem and applying a limiting argument, the existence of a weak solution is obtained. The uniqueness of the weak solution is also discussed.}
}