Zobrazeno 1 - 10
of 255
pro vyhledávání: '"Wang, Kelei"'
We study some problems on self similar solutions to the Fujita equation when $p>(n+2)/(n-2)$, especially, the characterization of constant solutions by the energy. Motivated by recent advances in mean curvature flows, we introduce the notion of $F-$f
Externí odkaz:
http://arxiv.org/abs/2407.20035
Autor:
Guo, Hongjun, Wang, Kelei
We construct entire solutions of bistable reaction-diffusion equations by mixing finite planar fronts, which form a finite-dimensional manifold. These entire solutions are generalized traveling fronts, that is, transition fronts. We also show their u
Externí odkaz:
http://arxiv.org/abs/2404.09237
Autor:
Wang, Kelei, Yi, Guangzeng
This is the first in a series of papers devoted to the blow up analysis for the quenching phenomena in a parabolic MEMS equation. In this paper, we first give an optimal H\"{o}lder estimate for solutions to this equation by using the blow up method a
Externí odkaz:
http://arxiv.org/abs/2404.03223
We establish a Liouville type result for stable solutions for a wide class of second order semilinear elliptic equations in $\mathbb{R}^{n}$ with sign-changing nonlinearity $f$. Under the hypothesis that the equation does not have any nonconstant one
Externí odkaz:
http://arxiv.org/abs/2312.00998
In this paper we develop a blow up theory for the parabolic-elliptic Keller-Segel system, which can be viewed as a parabolic counterpart to the Liouville equation. This theory is applied to the study of first time singularities, ancient solutions and
Externí odkaz:
http://arxiv.org/abs/2210.12299
Autor:
Kamburov, Nikola, Wang, Kelei
We prove the nondegeneracy condition for stable solutions to the one-phase free boundary problem. The proof is by a De Giorgi iteration, where we need the Sobolev inequality of Michael and Simon and, consequently, an integral estimate for the mean cu
Externí odkaz:
http://arxiv.org/abs/2207.12740
Publikováno v:
In Chinese Journal of Aeronautics September 2024 37(9):206-223
Autor:
Wang, Kelei, Wei, Juncheng
We consider the energy critical semilinear heat equation $$ \left\{\begin{aligned} &\partial_t u-\Delta u =|u|^{\frac{4}{n-2}}u &\mbox{in } {\mathbb R}^n\times(0,T),\\ &u(x,0)=u_0(x), \end{aligned}\right. $$ where $ n\geq 3$, $u_0\in L^\infty({\mathb
Externí odkaz:
http://arxiv.org/abs/2101.07186
Publikováno v:
In Science of the Total Environment 20 February 2024 912