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 fractional Schrödinger equation of the following form (− Δ) α∕ 2 u+
V (x)− μ| x| α u= f (x, u)− K (x)| u| q− 2 uon RN∖{0}, where V is bounded and close-to-periodic …

We propose an existence result for the semirelativistic Choquard equation with a local
nonlinearity in $\mathbb {R}^ N $\begin {equation*}\sqrt {\strut-\Delta+ m^ 2} u-mu+ V (x) …

We propose existence and multiplicity results for the system of Schrödinger equations with
sign-changing nonlinearities in bounded domains or in the whole space RN. In the bounded …

We consider the following fractional p‐Laplacian equation:-Δ p α u+ V (x) up-2 u= f (x, u)-Γ
(x) uq-2 u, x∈ RN, where N≥ 2, p α⁎> q> p≥ 2, α∈(0, 1),-Δ p α is the fractional p …

We are concerned with the nonlinear fractional Schrödinger system (-Δ)^ s u+ V_ 1 (x) u= f
(x, u)+ Γ (x)| u|^ q-2 u| v|^ q & in R^ N,\(-Δ)^ s v+ V_ 2 (x) v= g (x, v)+ Γ (x)| v|^ q-2 v| u|^ q & in …

We consider the fractional Schrödinger-Poisson system (-Δ) αu+ V (x) u+ K (x) Φ (x) u= ƒ (x,
u)-Γ (x)| u| q-2u in ℝ3,(-Δ) βΦ= K (x) u2 in ℝ3, where α, β∈(0, 1], 4α+ 2β> 3, 4≤ q< 2* α, K …