Results 131 to 140 of about 6,857,278 (209)

Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance

open access: yes
We establish Liouville type theorems in the whole space and in a half-space for parabolic problems without scale invariance. To this end, we employ two methods, respectively based on the corresponding elliptic Liouville type theorems and energy estimates
Quittner, Pavol, Souplet, Philippe
core  

Liouville\u27s theorems for Lévy operators [PDF]

open access: yes
Let $L$ be a Lévy operator. A function $h$ is said to be harmonic with respect to $L$ if $L h = 0$ in an appropriate sense. We prove Liouville\u27s theorem for positive functions harmonic with respect to a general Lévy operator $L$: such functions are ...
Kwaśnicki, Mateusz, Grzywny, Tomasz
core  

Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system

open access: yes
We establish various results concerning the uniqueness of zero velocity solutions for the static barotropic Navier--Stokes system.
Yang, Minsuk   +2 more
core  

$L^p$ Liouville type theorems for harmonic functions on gradient Ricci solitons

open access: yes
In this paper we consider $L^p$ Liouville type theorems for harmonic functions on gradient Ricci solitons. In particular, assume that $(M,g)$ is a gradient shrinking or steady Kähler-Ricci soliton, then we prove that any pluriharmonic function $u$ on $M$
Luo, Yong
core   +1 more source

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