5 papers
Sign-changing multi-peak standing waves of the NLSE with a point interaction
Gustavo de Paula Ramos
Consider the following semilinear problem with a point interaction in : \[- Î_αu + Ïu = u |u|^{p - 2},\] where ; ; denotes the Ham…
Minimizers of mass-constrained functionals involving a nonattractive point interaction
Gustavo de Paula Ramos
We establish conditions to ensure the existence of minimizer for a class of mass-constrained functionals involving a nonattractive point interaction in three dimensions. The existe…
Asymptotic profile of least energy solutions to the nonlinear Schrödinger-Bopp-Podolsky system
Gustavo de Paula Ramos
Consider the following nonlinear Schrödinger--Bopp--Podolsky system in : \[ \begin{cases} - Îv + v + Ïv = v |v|^{p - 2}; \\ β^2 Î^2 Ï- ÎÏ= 4 Ïv^2, \end{cases…
Cluster semiclassical states of the nonlinear Schrödinger-Bopp-Podolsky system
Gustavo de Paula Ramos
Consider the following nonlinear Schrödinger-Bopp-Podolsky system in : $$ \begin{cases} -\varepsilon^2 Îu + (V + Ï) u = u |u|^{p-1}; \\ a^2 Î^2 Ï- ÎÏ= 4 Ïu^2,…
On the existence of ground states to Hartree-type equations in with a delta potential
Gustavo de Paula Ramos
Consider the Hartree-type equation in with a delta potential formally described by wher…