Ground state solutions of scalar field fractional Schrödinger equations

GM Bisci, VD Rădulescu - Calculus of Variations and Partial Differential …, 2015 - Springer
In this paper, we study the existence of multiple ground state solutions for a class of
parametric fractional Schrödinger equations whose simplest prototype is (-Δ)^ s u+ V (x) u= λ …

[PDF][PDF] Fractional Sobolev spaces with variable exponents and fractional p (x)-Laplacians

U Kaufmann, J Rossi, R Vidal - Electronic Journal of Qualitative Theory …, 2017 - real.mtak.hu
In this article we extend the Sobolev spaces with variable exponents to include the fractional
case, and we prove a compact embedding theorem of these spaces into variable exponent …

[HTML][HTML] Existence of solutions for Kirchhoff type problem involving the non-local fractional p-Laplacian

M Xiang, B Zhang, M Ferrara - Journal of Mathematical Analysis and …, 2015 - Elsevier
The purpose of this paper is to investigate the existence of weak solutions for a Kirchhoff
type problem driven by a non-local integro-differential operator of elliptic type with …

Infinitely many solutions for the stationary Kirchhoff problems involving the fractional p-Laplacian

X Mingqi, GM Bisci, G Tian, B Zhang - Nonlinearity, 2016 - iopscience.iop.org
The aim of this paper is to establish the multiplicity of weak solutions for a Kirchhoff-type
problem driven by a fractional p-Laplacian operator with homogeneous Dirichlet boundary …

Superlinear nonlocal fractional problems with infinitely many solutions

Z Binlin, GM Bisci, R Servadei - Nonlinearity, 2015 - iopscience.iop.org
Superlinear nonlocal fractional problems with infinitely many solutions Page 1 Nonlinearity
PAPER Superlinear nonlocal fractional problems with infinitely many solutions To cite this …

Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem

M Xiang, B Zhang, X Guo - Nonlinear Analysis: Theory, Methods & …, 2015 - Elsevier
In this paper, we use the Fountain Theorem and the Dual Fountain Theorem to study the
existence of infinitely many solutions for Kirchhoff type equations involving nonlocal integro …

Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems

W Li, VD Rădulescu, B Zhang - Journal of Mathematical Physics, 2019 - pubs.aip.org
In this paper, we study the existence of infinitely many solutions for a fractional Kirchhoff–
Schrödinger–Poisson system. Based on variational methods, especially the fountain …

On doubly nonlocal fractional elliptic equations

GM Bisci, DD Repovš - Rendiconti Lincei, 2015 - ems.press
This work is devoted to the study of the existence of solutions to nonlocal equations
involving the fractional Laplacian. These equations have a variational structure and we find …

On a fractional degenerate Kirchhoff-type problem

G Molica Bisci, L Vilasi - Communications in Contemporary …, 2017 - World Scientific
In this paper, we study a highly nonlocal parametric problem involving a fractional-type
operator combined with a Kirchhoff-type coefficient. The latter is allowed to vanish at the …

Multiplicity results for elliptic fractional equations with subcritical term

GM Bisci, VD Rădulescu - Nonlinear Differential Equations and …, 2015 - Springer
In the present paper, by using variational methods, we study the existence of multiple
nontrivial weak solutions for parametric nonlocal equations, driven by the fractional Laplace …