On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.
Hardy inequalities with boundary terms.
Gluing approximate solutions of minimum type on the Nehari manifold.
A one-dimensional nonlinear degenerate elliptic equation.
Multiplicity results for positive solutions to non-autonomous elliptic problems.
Nonradial solutions of nonlinear Neumann problems in radially symmetric domains
On a superlinear elliptic equation
Multi-bump type nodal solutions having a prescribed number of nodal domains : II
Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in RN
Multi-bump type nodal solutions having a prescribed number of nodal domains : I
On the Hénon equation : asymptotic profile of ground states, I
Standing waves for nonlinear Schrödinger equations with singular potentials
Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
For singularly perturbed Schrödinger equations with decaying potentials at infinity we construct semiclassical states of a critical frequency concentrating on spheres near zeroes of the potentials. The results generalize some recent work of Ambrosetti–Malchiodi–Ni [3] which gives solutions concentrating on spheres where the potential is positive. The solutions we obtain exhibit different behaviors from the ones given in [3].
Ground states of nonlinear Schrödinger equations with potentials
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