On the complex structure of positive solutions to Matukuma-type equations
Homoclinic orbits for a class of infinite dimensional hamiltonian systems
On the number of positive solutions of singularly perturbed 1D nonlinear Schrödinger equations
We study singularly perturbed 1D nonlinear Schrödinger equations (1.1). When has multiple critical points, (1.1) has a wide variety of positive solutions for small and the number of positive solutions increases to as . We give an estimate of the number of positive solutions whose growth order depends on the number of local maxima of . Envelope functions or equivalently adiabatic profiles of high frequency solutions play an important role in the proof.
Subharmonics near an equilibrium point for Hamiltonian systems.
On critical exponents for the Pucci's extremal operators
Multi-peak bound states for nonlinear Schrödinger equations
Monotonicity properties for ground states of the scalar field equation
Homoclinic and periodic orbits for hamiltonian systems
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