We consider the following generalized Chern–Simons–Schrödinger system in R 2-Δ u+(λ V
(x)-μ) u+ A 0 u+∑ j= 1 2 A j 2 u= f (x, u),∂ 1 A 2-∂ 2 A 1=-1 2| u| 2,∂ 1 A 1+∂ 2 A 2= 0, A …

We are interested in the nonlinear, time-harmonic Maxwell equation $$\nabla\times
(\nabla\times\mathbf {E})+ V (x)\mathbf {E}= h (x,\mathbf {E})\mbox {in}\mathbb {R}^ 3$$ with …

In this paper, we study the critical pp‐Laplacian equation of Kirchhoff type− M∫ ℝ N|∇ u|
pdx Δ pu+ V (x)| u| p− 2 u= λ K (x) f (u)+| u| p∗− 2 u, x∈ ℝ N,-M\left (∫ _ R &# x0005E; …

We show that ground state solutions to the nonlinear, fractional problem (-Δ)^ s u+ V (x) u= f
(x, u) & in Ω,\u= 0 & in\mathbb R^ N ∖ Ω, on a bounded domain Ω⊂\mathbbR^N, converge …

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 …

We consider the nonlinear fractional problem (-Δ)^ s u+ V (x) u= f (x, u) &\quad in R^ N (-Δ)
su+ V (x) u= f (x, u) in RN We show that ground state solutions converge (along a …

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 …

We study the existence of ground state solutions for the following Schrödinger‐Poisson
equations: where is the sum of a periodic potential V p and a localized potential V loc and f …

We look for solutions to a nonlinear, fractional Schrödinger equation (− Δ) α/2 u+ V (x) u= f
(x, u)− Γ (x)| u| q− 2 u on RN, where the potential V is coercive or V= V pe r+ V loc is a sum of …