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math.AP2017
Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions
Alberto Saldaña, Hugo Tavares
We study existence, regularity, and qualitative properties of solutions to the system \[ -Δu = |v|^{q-1} v\quad \text{ in }Ω,\qquad -Δv = |u|^{p-1} u\quad \text{ in }Ω,\qquad \part…
math.AP2017★ 12 cited
Variational problems with long-range interaction
Nicola Soave, Hugo Tavares, Susanna Terracini +1
We consider a class of variational problems for densities that repel each other at distance. Typical examples are given by the Dirichlet functional and the Rayleigh functional \[ D…