Nonlinear diffusion with the p-Laplacian in a Black-Scholes-type model

We present a new nonlinear version of the well-known Black-Scholes model for option pricing in financial mathematics. The partial differential equation is based on quasilinear diffusion term with p-Laplace operator \(\Delta_p\) \(1 < p \infty\). existence and uniqueness weak solution weighted Sobolev space proved, first, by methods parabolic problems using Gel'fand triplet and, alternatively, method semigroups. Finally, possible choices other spaces are discussed to produce function setting more realistic See also https://ejde.math.txstate.edu/special/02/t1/abstr.html