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
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.
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