In this paper, we study the following nonlinear time-harmonic Maxwell equations*(0.1) ∇ *
(∇ * E)-ω^ 2 ε (x) E= P (x)| E|^ p-2 E+ Q (x)| E|^ q-2 E, where ε(x) is the permittivity of the …

In this paper, we establish a new linking theorem for local Lipschitz functionals without the τ-
upper semi-continuity assumption. As an application, we study the following equation with …

We show an abstract critical point theorem about existence of infinitely many critical orbits to
strongly indefinite functionals with sign-changing nonlinear part defined on a dislocation …

In the paper, we utilize the recent variational, abstract theorem to show the existence of
homoclinic solutions to the Hamiltonian system $$\dot {z}= J D_z H (z, t),\quad t\in\mathbb …

The starting point of the talk is the Schrödinger equation-∆ u+ V (x) u= f (u)-λg (u)(1) where u:
RN→ R and V is periodic with respect to x∈ RN (ie is symmetric under the action of ZN) …

We propose a new variational approach to finding multiple critical points for strongly
indefinite problems without assuming the weak upper semicontinuity on the variational …