8 papers
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…
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…
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, \;\;…