Large solutions to the p-Laplacian for large p
نویسندگان
چکیده
منابع مشابه
Large time behavior of solutions of the p-Laplacian equation
We establish the behavior of the solutions of the degenerate parabolic equation ut = ∇ · ( |∇u|∇u ) , p > 2, posed in the whole space with nonnegative, continuous and compactly supported initial data. We prove a nonlinear concavity estimate for the pressure v = u(p−2)/(p−1) away from the the maximum point of v. The estimate implies that the support of the solution becomes convex for large times...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2007
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-007-0109-6