We are interested in the existence of normalized solutions to the problem (-Δ) mu+ μ| y| 2
mu+ λ u= g (u), x=(y, z)∈ RK× RN-K,∫ RN| u| 2 dx= ρ> 0, in the so-called at least mass …

This paper is concerned with the existence of normalized solutions to the problem with
combined nonlinearities {− Δ u+ ur 2− λ u− κ| u| q− 2 u−| u| p− 2 u= 0, x=(y, z)∈ RK× RN …

In this paper, we study the existence of periodic solutions to second-order Hamiltonian
systems. The nonlinear term has a special form, which satisfies a nondecreasing monotone …

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 …

We show a linking-type result which allows us to study strongly indefinite problems with sign-
changing nonlinearities. We apply the abstract theory to the singular Schrödinger equation …

In this paper, we focus on (no) existence and asymptotic behavior of solutions for the double
critical Maxwell equation involving with the Hardy, Hardy-Sobolev, Sobolev critical …

We are interested in a general Choquard equation− Δ+ m 2 u− m u+ V (x) u− μ| x| u=∫ RNF
(y, u (y))| x− y| N− α dyf (x, u)− K (x)| u| q− 2 u under suitable assumptions on the bounded …

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 …

We consider the following X‐ray free electron lasers Schrödinger equation (i∇− A) 2 u+ V
(x) u− μ| x| u= 1| x|∗| u| 2 u− K (x)| u| q− 2 u, x∈ ℝ 3,\left (i ∇-A\right) &# x0005E; 2u&# …

We show the existence of the so-called semiclassical states U: R 3→ R 3 to the following
curl–curl problem ɛ 2∇×(∇× U)+ V (x) U= g (U), for sufficiently small ɛ> 0. We study the …