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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular Solutions to the Yamabe Equation with Prescribed Asymptotics
规定渐近 山部方程 奇异解
2023/4/25
We study positive solutions of the Yamabe equation with isolated singularity and prove the existence of solutions with prescribed asymptotic expansions near singular points and an arbitrarily high ord...
Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption
Very singular solution singular diffusion gradient absorption self-similar solutions p-Laplacian uniqueness
2011/8/26
Abstract: Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{...
Behavior of the singular solutions of the problem governed by the adjunct of the Laplace operator affected by a weight function near the tops of plane polygon
Singularity Polygon function
2010/9/21
In this work, we study the behavior of the singular solutions of the problem governed by the adjunct of the laplacian operator affected by a weight function in a polygon. First, the study will be done...
Singular solutions to the heat equations with nonlinear absorption and Hardy potentials
Singular solutions heat equations nonlinear absorption Hardy potentials
2010/12/10
We study the existence and nonexistence of singular solutions to the equation ut−u−
|x|2 u + |x| u|u|p−1 = 0, p > 1, in RN × [0,∞), N ≥ 3, with a singularity at the point
(0, 0)...