24 citations · 134 across the 80 of their papers we have counts for
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Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in
Vincenzo Ambrosio, Hichem Hajaiej
This paper is concerned with the following fractional Schrödinger equation \begin{equation*} \left\{ \begin{array}{ll} (-Δ)^{s} u+u= k(x)f(u)+h(x) \mbox{ in } \mathbb{R}^{N}\\ u\in…
The virial theorem and ground state energy estimate of nonlinear Schrödinger equations in with square root and saturable nonlinearities in nonlinear optics
Tai-Chia Lin, Milivoj R. Belic, Milan S. Petrovic +2
The virial theorem is a nice property for the linear Schrodinger equation in atomic and molecular physics as it gives an elegant ratio between the kinetic and potential energies an…
Existence Results for a critical fractional equation
Hichem Hajaiej, Giovanni Molica Bisci, Luca Vilasi
We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our…
Bounded Solutions to nonlinear problems involving the fractional laplacian depending on parameters
Said El Manouni, Hichem Hajaiej, Patrick Winkert
The main goal of this paper is the study of two kinds of nonlinear problems depending on parameters in unbounded domains. Using a nonstandard variational approach, we first prove t…