Existence for doubly nonlinear fractional p-Laplacian equations
Annali di Matematica Pura ed Applicata (1923 -)(2024)
摘要
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.
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关键词
Nonlocal doubly nonlinear equation,Fractional Sobolev space,Space-time fractional Sobolev inequalities,Primary 35B45,35B65,Secondary 35D30,35K61
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