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  • 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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