A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities
We prove the existence of non-trivial solutions to a system of coupled, nonlinear, Schroedinger equations with general nonlinearity.
math.AP↗
arXiv subjects
S. Secchi
Publications and source records attributed to S. Secchi.
Single--peaks for a magnetic Schrödinger equation with critic al growth
We prove existence results of complex-valued solutions for a semilinear Schrödinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory.
math.AP↗
Symmetry breaking results for problems with exponential growth in the unit disk
We investigate some asymptotic properties of extrema to a two-dimensional variational problem in the unit disk. Some results about non-radialicity of solutions are given.
math.AP↗
Remarks on a Sobolev-Hardy inequality
We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.
math.AP↗
Semiclassical limit for nonlinear Schroedinger equations with electromagnetic fields
We prove some multiplicity results by means of a perturbation technique in critical point theory.
math.AP↗
Global bifurcation of homoclinic solutions of hamiltonian systems
We provide global bifurcation results for a class of nonlinear hamiltonian systems
math.DS↗
Multiplicity results for some nonlinear Schroedinger equations with potentials
We prove some multiplicity results for a nonlinear equation of Schroedinger type with potential functions
math.AP↗