Nonlinear parabolic problems have a huge interest in mathematical
sciences as they model a wide variety of real world systems whose
deep understanding is a challenge for the advance of human learning.
As a matter of fact, they have shown to be a milestone for the
generation of knowledge and innovation in the theory of ecosystems,
in fluid dynamics, in energy transfer, in reaction-diffusion, in
chemotaxis, and even in the evaluation of stock options, where
dispersal and diffusion coefficients are interchanged by volatility
rates. As nonlinear elliptic equations describe the steady-state
solutions of parabolic problems, their study is imperative for
ascertaining the dynamics of all these mathematical models.
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