2 papers
math.AP2024
Multiplicity results for a subcritical Hamiltonian system with concave-convex nonlinearities
Oscar Agudelo, Bernhard Ruf, Carlos Velez
We study the {\it Hamiltonian elliptic system} \begin{eqnarray}\label{HS1-abstract} \left\{ \begin{aligned} -Δu & = λ|v|^{r-1}v +|v|^{p-1}v \qquad &\hbox{in} \ \ Ω,\\ -Δv & = μ|u|^…
math.DG2024
The Jacobi operator of some special minimal hypersurfaces
Oscar Agudelo, Matteo Rizzi
In this work we discuss stability and nondegeneracy properties of some special families of minimal hypersurfaces embedded in with . The…