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In this paper, we study a class of fast diffusion p-Laplace equation with singular potential in a bounded smooth domain with homogeneous Dirichlet boundary condition. By using energy estimates, Hardy-Littlewood-Sobolev… Click to show full abstract
In this paper, we study a class of fast diffusion p-Laplace equation with singular potential in a bounded smooth domain with homogeneous Dirichlet boundary condition. By using energy estimates, Hardy-Littlewood-Sobolev inequality, and some ordinary differential inequalities, we get the solution of the equation exists globally. Moreover, the conditions of extinction and non-extinction are studied. The results of this paper extend and complete the previous studies on this equation.
Keywords:
diffusion laplace;
fast diffusion;
extinction;
equation;
singular potential;
equation singular
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
Link to full text (if available)
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recommendations!