5 citations · 6 across the 6 of their papers we have counts for
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Symmetric positive solutions to nonlinear Choquard equations with potentials
Liliane Maia, Benedetta Pellacci, Delia Schiera
Existence results for a class of Choquard equations with potentials are established. The potential has a limit at infinity and it is taken invariant under the action of a closed su…
Positive bound states to nonlinear Choquard equations in the presence of nonsymmetric potentials
Liliane Maia, Benedetta Pellacci, Delia Schiera
The existence of a positive solution to a class of Choquard equations with potential going at a positive limit at infinity possibly from above or oscillating is proved. Our results…
Maximum principles and related problems for a class of nonlocal extremal operators
Isabeau Birindelli, Giulio Galise, Delia Schiera
We study the validity of the comparison and maximum principles, and their relation with principal eigenvalues, for a class of degenerate nonlinear operators that are extremal among…
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…
Uniqueness results for higher order elliptic equations and systems
Daniele Cassani, Delia Schiera
In this paper we develop a Gidas-Ni-Nirenberg technique for polyharmonic equations and systems of Lane-Emden type. As far as we are concerned with Dirichlet boundary conditions, we…
Existence of solutions to higher order Lane-Emden type systems
Delia Schiera
We prove existence results for the Lane-Emden type system \[ \begin{cases} \begin{aligned} (-Δ)^α u=\left| v \right|^q \\ (-Δ)^β v= \left| u \right|^p \end{aligned} \text{ in } B_1…