Results 21 to 30 of about 229 (44)

Influence of a road on a population in an ecological niche facing climate change [PDF]

, 2019
We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecological niche.
Berestycki, Henri, Ducasse, Romain, Rossi, Luca   +2 more
core   +3 more sources

Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential [PDF]

, 2010
We study positive Liouville theorems and the asymptotic behavior of positive solutions of p-Laplacian type elliptic equations of the form Q'(u):= - pLaplace(u) + V |u|^{p-2} u = 0 in X, where X is a domain in R^d, d > 1, and ...
Fraas, Martin, Pinchover, Yehuda
core   +3 more sources

On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators [PDF]

, 2015
This note contains a representation formula for positive solutions of linear degenerate second-order equations of the form $$ \partial_t u (x,t) = \sum_{j=1}^m X_j^2 u(x,t) + X_0 u(x,t) \qquad (x,t) \in \mathbb{R}^N \times\, ]- \infty ,T[,$$ proved by a ...
Kogoj, Alessia E., Pinchover, Y., Polidoro, S.   +2 more
core   +2 more sources

A view on Liouville theorems in PDEs

Analysis and Geometry in Metric Spaces
Our review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Mitidieri Enzo
doaj   +1 more source

Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

A Liouville theorem for the Degasperis-Procesi equation [PDF]

, 2015
We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Brandolese, Lorenzo
core  

Higher-dimensional solutions for a nonuniformly elliptic equation

, 2013
We prove $m$-dimensional symmetry results, that we call $m$-Liouville theorems, for stable and monotone solutions of the following nonuniformly elliptic equation \begin{eqnarray*}\label{mainequ} - div(\gamma(\mathbf x') \nabla u(\mathbf x)) =\lambda ...
Fazly, Mostafa
core   +1 more source

Radial symmetry, monotonicity and Liouville theorem for Marchaud fractional parabolic equations with the nonlocal Bellman operator

Advanced Nonlinear Studies
In this article, we focus on studying space-time fractional parabolic equations with the nonlocal Bellman operator and the Marchaud fractional derivative. To address the difficulty caused by the space-time non-locality of operator ∂tα−Fs ${\partial }_{t}^
Liu Mengru, Zhang Lihong, Wang Guotao
doaj   +1 more source

A Refined Approach for Non-Negative Entire Solutions of Δ u + up = 0 with Subcritical Sobolev Growth

Advanced Nonlinear Studies, 2017
Let N≥2{N\geq 2} and ...
Villavert John
doaj   +1 more source

Liouville theorems for a family of very degenerate elliptic non linear operators

, 2017
We prove nonexistence results of Liouville type for nonnegative viscosity solutions of some equations involving the fully nonlinear degenerate elliptic operators ${\cal P}^\pm_k$, defined respectively as the sum of the largest and the smallest $k ...
Birindelli, Isabeau, Galise, Giulio, Leoni, Fabiana   +2 more
core   +1 more source