Results 141 to 150 of about 14,112 (178)

Some Liouville theorems for Hénon type elliptic equations

Journal of Functional Analysis, 2012
International audienceWe investigate here the nonlinear elliptic equations$-\Delta u = |x|^{\alpha} e^{u}$ and $-\Delta u=|x|^{\alpha}|u|^{p-1}u$ with $\alpha>-2$, $p > 1$ and $N \geq 2$.In particular, we prove some Liouville type theorems for ...
Dong Ye
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

A Theorem of Liouville Type for Harmonic Morphisms

Geometriae Dedicata, 2001
Let \(M\) be a complete noncompact Riemannian manifold with nonnegative Ricci curvature and \(N\) be a Riemannian manifold with nonpositive scalar curvature. Then every harmonic morphism \(M\to N\) of finite energy is constant. This theorem is related to the classical result of \textit{R. Schoen} and \textit{S.-T. Yau} [Comment. Math. Helv. 51, 333-341
Choi, Gundon, Yun, Gabjin
openaire   +1 more source

Liouville Type Theorems for Fractional Parabolic Problems

Journal of Dynamics and Differential Equations, 2021
The authors establish Liouville-type theorems for fractional parabolic problems, presenting a compelling dual-purpose exploration. Their first objective is to establish optimal Liouville-type theorems, focusing on both nonnegative and positive supersolutions of fractional parabolic equations across the entire time-space continuum.
Anh Tuan Duong, Van Hoang Nguyen
openaire   +1 more source

A view on Liouville theorems in PDEs [PDF]

Analysis and Geometry in Metric Spaces
Our review of Liouville theorems includes a special focus on nonlinear partial differential equations and ...
Enzo Mitidieri
exaly   +2 more sources

Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems [PDF]

Czechoslovak Mathematical Journal, 2011
summary:In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the ...
Földes, Juraj, Juraj Földes Nashville
exaly   +2 more sources

Fundamental solutions and Liouville type theorems for nonlinear integral operators [PDF]

Advances in Mathematics, 2011
Artículo de publicación ISIIn this article we study basic properties for a class of nonlinear integral operators related to their fundamental solutions.
Patricio Felmer, Alexander Quaas
exaly   +2 more sources

A Liouville-type theorem for the stationary Navier–Stokes equations

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Youseung Cho, Jong-Keun Cho, Minsuk Yang
openaire   +2 more sources

A Liouville type theorem for semilinear elliptic systems

Pacific Journal of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teramoto, Tomomitsu, Usami, Hiroyuki
openaire   +2 more sources

A Liouville-type theorem for Lane-Emden system

Indiana University Mathematics Journal, 2002
The authors provide a partial positive answer to a well-known conjecture about the nonexistence of positive solutions to Lane-Emden systems below the critical Sobolev hyperbola. The proof is based on a monotonicity argument for suitable transformed functions.
Busca, Jérôme, Manásevich, Raul
openaire   +2 more sources