Zobrazeno 1 - 10
of 1 184
pro vyhledávání: '"gradient estimate"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract This article provides a Li–Yau-type gradient estimate for a semilinear weighted parabolic system of semilinear equations along an abstract geometric flow on a smooth measure space. A Harnack-type inequality on the system is also derived at
Externí odkaz:
https://doaj.org/article/087cfd3236c440fcbde092dbb1db8354
Autor:
Sakineh Hajiaghasi, Shahroud Azami
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 83-98 (2024)
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality,
Externí odkaz:
https://doaj.org/article/039e1fa69a7a45c8bd4e915f2649e000
Autor:
Hao-Yue Liu, Wei Zhang
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 3881-3894 (2024)
In this paper, we consider a Li-Yau gradient estimate on the positive solution to the following nonlinear parabolic equation $ \frac{\partial}{\partial t}f = \Delta f+af(\ln f)^{p} $ with Neumann boundary conditions on a compact Riemannian mani
Externí odkaz:
https://doaj.org/article/0f7699a0b71d461d82987f14c5582257
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 6, Pp 1-13 (2023)
In this paper, we use the maximum principle and moving frame technique to prove the global gradient estimates for the higher-order curvature equations with prescribed contact angle problems.
Externí odkaz:
https://doaj.org/article/f6c909667a2544bc86c038706ca22717
Publikováno v:
Opuscula Mathematica, Vol 44, Iss 1, Pp 105-134 (2023)
The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder's fixed point theorem.
Externí odkaz:
https://doaj.org/article/f878db15b58345ea8b03e9b06076789c
Autor:
Zhiqiang Li, Yanzhe Fan
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 19210-19239 (2023)
In the present paper, we focus on the study of the asymptotic behaviors of solutions for the Cauchy problem of time-space fractional superdiffusion and subdiffusion equations with integral initial conditions, where the Riemann-Liouville derivative is
Externí odkaz:
https://doaj.org/article/f164525464de4af0a343fc9485eb2e2f
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 51-85 (2023)
In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions. Th
Externí odkaz:
https://doaj.org/article/ba2a4ae044854094a9a3625bb584ab86
Autor:
Sakineh Hajiaghasi, Shahroud Azami
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-10 (2022)
Abstract In this paper, we consider an n-dimensional manifold M n $M^{n}$ endowed with an almost Bakry–Émery Ricci curvature and study a special case of gradient estimate for the positive solutions of Δ u − X . u = f $\Delta u-X.u=f$ , for a sm
Externí odkaz:
https://doaj.org/article/4e84aac69a714ae08411b8371e80a21f
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