Asymptotic behavior of solutions for the one-dimensional drift-diffusion model in the quarter plane

2014 ◽  
Vol 19 (2) ◽  
pp. 144-148
Author(s):  
Fang Zhou
Keyword(s):  
Asymptotic Behavior ◽  
Diffusion Model ◽  
Asymptotic Behavior Of Solutions ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
One Dimensional ◽  
Quarter Plane ◽  
The One

scholarly journals Limit of 𝑝-Laplacian obstacle problems

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Raffaela Capitanelli ◽  
Maria Agostina Vivaldi
Keyword(s):  
Asymptotic Behavior ◽  
Uniform Convergence ◽  
Explicit Expression ◽  
Positive Measure ◽  
Sufficient Conditions ◽  
Obstacle Problems ◽  
Dimensional Case ◽  
Asymptotic Behavior Of Solutions ◽  
One Dimensional ◽  
The One

AbstractIn this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as {p\to\infty}. For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, we provide sufficient conditions to assure the uniform convergence of the whole family of the solutions of obstacle problems either for data f that change sign in Ω or for data f (that do not change sign in Ω) possibly vanishing in a set of positive measure.

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