Existence for doubly nonlinear fractional p-Laplacian equations.

Autor: Kato, Nobuyuki, Misawa, Masashi, Nakamura, Kenta, Yamaura, Yoshihiko
Zdroj: Annali di Matematica Pura ed Applicata; Dec2024, Vol. 203 Issue 6, p2481-2527, 47p
Abstrakt: We prove the existence of a global-in-time weak solution to a doubly nonlinear parabolic fractional p-Laplacian equation, which has general double nonlinearity including not only the Sobolev subcritical/critical/supercritical cases but also the slow/homogenous/fast diffusion ones. Our proof exploits the weak convergence method for the doubly nonlinear fractional p-Laplace operator. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index