Results 21 to 30 of about 218 (41)

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

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

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 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  

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

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

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

Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities [PDF]

, 2010
We study fully nonlinear elliptic equations such as \[ F(D^2u) = u^p, \quad p>1, \] in $\R^n$ or in exterior domains, where $F$ is any uniformly elliptic, positively homogeneous operator.
Armstrong, Scott N., Sirakov, Boyan
core   +4 more sources

Qualitative properties of solutions for dual fractional parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
doaj   +1 more source

Multidimensional entire solutions for an elliptic system modelling phase separation

, 2016
For the system of semilinear elliptic equations \[ \Delta V_i = V_i \sum_{j \neq i} V_j^2, \qquad V_i > 0 \qquad \text{in $\mathbb{R}^N$} \] we devise a new method to construct entire solutions.
Soave, Nicola, Zilio, Alessandro
core   +1 more source