5 papers
Strong maximum principle for fully nonlinear nonlocal problems
Juan Pablo Cabeza, Gabrielle Nornberg, Disson dos Prazeres
In this paper, we study solvability and qualitative properties of nonnegative solutions for a sublinear nonlocal problem with fully nonlinear structure in the form $$ \mathcal{M}^{…
Existence and a priori bounds for fully nonlinear PDEs with a harmonic map-like structure
Gabrielle Nornberg, Ricardo Ziegele
In this paper, we study a new class of fully nonlinear uniformly elliptic equations with a so-called harmonic map-like structure, whose model case is given by \begin{equation*} \ma…
The moving patch model with fractional diffusion
Sebastián Flores-Sepúlveda, Gabrielle Nornberg, Alexander Quaas
In this paper we study the following one-dimensional reaction-diffusion problem where $s>\frac{1}{2}…
The Landis Conjecture For Nonlocal Elliptic Operators: Polynomial Decay
Sebastián Flores Sepúlveda, Sebastián Flores Sepúlveda, Gabrielle Nornberg
We obtain a unique continuation result at infinity for fully nonlinear elliptic integro-differential operators of order 2s which satisfy the maximum and minimum principles in bound…
Fundamental solutions and critical Lane-Emden exponents for nonlinear integral operators in cones
Gabrielle Nornberg, Disson dos Prazeres, Alexander Quaas
In this article we study the fundamental solutions or "-harmonic functions" for some nonlinear positive homogeneous nonlocal elliptic problems in conical domains, such as \begi…