7 citations · 9 across the 14 of their papers we have counts for
15 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 …
The Landis Conjecture For Nonlocal Elliptic Operators: Polynomial Decay
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 \begin…
Existence, nonexistence and uniqueness for Lane-Emden type fully nonlinear systems
Liliane Maia, Gabrielle Nornberg, Filomena Pacella
We study existence, nonexistence, and uniqueness of positive radial solutions for a class of nonlinear systems driven by Pucci extremal operators under a Lane-Emden coupling config…
Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains
Liliane Maia, Gabrielle Nornberg
In this note we study existence of positive radial solutions in annuli and exterior domains for a class of nonlinear equations driven by Pucci extremal operators subject to a Hénon…
Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients
João Vitor da Silva, Gabrielle Nornberg
We develop an optimal regularity theory for -viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form whose gradient growth is described throu…
Principal spectral curves for Lane-Emden fully nonlinear type systems and applications
Ederson Moreira dos Santos, Gabrielle Nornberg, Delia Schiera +1
In this paper we exploit the phenomenon of two principal half eigenvalues in the context of fully nonlinear Lane-Emden type systems with possibly unbounded coefficients and weights…
A dynamical system approach to a class of radial weighted fully nonlinear equations
Liliane Maia, Gabrielle Nornberg, Filomena Pacella
In this paper we study existence, nonexistence and classification of radial positive solutions of some weighted fully nonlinear equations involving Pucci extremal operators. Our re…
A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth
Gabrielle Nornberg, Delia Schiera, Boyan Sirakov
We consider fully nonlinear uniformly elliptic cooperative systems with quadratic growth in the gradient, such as $$ -F_i(x, u_i, Du_i, D^2 u_i)- \langle M_i(x)D u_i, D u_i \rangle…
On unique continuation principles for some elliptic systems
Ederson Moreira dos Santos, Gabrielle Nornberg, Nicola Soave
In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application,…
Symmetry properties of positive solutions for fully nonlinear elliptic systems
Ederson Moreira dos Santos, Gabrielle Nornberg
We investigate symmetry properties of positive solutions for fully nonlinear uniformly elliptic systems, such as $$ F_i \,(x,Du_i,D^2u_i) +f_i \,(x,u_1, \ldots , u_n,Du_i)=0, \;\;…
A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient
Gabrielle Nornberg, Boyan Sirakov
We consider fully nonlinear uniformly elliptic equations with quadratic growth in the gradient, such as in a bounde…
regularity for fully nonlinear elliptic equations with superlinear growth in the gradient
Gabrielle Nornberg
We extend the Caffarelli-Świech-Winter regularity estimates to -viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form with superl…