Pubblicazioni - Vincenzo Ambrosio

V. Ambrosio, Existence of heteroclinic solutions for a pseudo-relativistic Allen-Cahn type equation, Adv. Nonlinear Stud. 15 (2015), 395–414.

V. Ambrosio, Periodic solutions for a pseudo-relativistic Schrödinger equation, Nonlinear Anal. 120 (2015), 262–284.

V. Ambrosio, A fractional Landesman–Lazer type problem set on $\mathbb{R}^N$ , Matematiche (Catania) 71 (2016), no. 2, 99–116.

V. Ambrosio, Ground states for superlinear fractional Schrödinger equations in $\mathbb{R}^{N}$ , Ann. Acad. Sci. Fenn. Math. 41 (2016), 745–756.

V. Ambrosio, Infinitely Many Periodic Solutions for a Fractional Problem Under Perturbation, J. Elliptic Parabol. Equ. 2 (2016), no. 1-2, 105–117.

V. Ambrosio, Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator, J. Math. Phys. 57 (2016), no. 5, 051502, 18 pp.

V. Ambrosio, Multiple solutions for a fractional $p$ -Laplacian equation with sign-changing potential, Electron. J. Diff. Equ., vol. 2016 (2016), no. 151, pp. 1–12.

V. Ambrosio and G. Molica Bisci, Periodic solutions for nonlocal fractional equations, Commun. Pure Appl. Anal. 16 (2017), no. 1, 331–344.

V. Ambrosio, Periodic solutions for the non-local operator $(-\Delta+ m^{2})^{s}-m^{2s}$ with $m\geq 0$ , Topol. Methods Nonlinear Anal. 49 (2017), no. 1, 75–104.

V. Ambrosio, Ground states for a fractional scalar field problem with critical growth, Differential Integral Equations 30 (2017), no. 1-2, 115–132.

V. Ambrosio and G. M. Figueiredo, Ground state solutions for a fractional Schrödinger equation with critical growth, Asymptot. Anal. 105 (2017), no. 3-4, 159–191.

V. Ambrosio, Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition, Discrete Contin. Dyn. Syst., 37 (2017), no. 5, 2265–2284.

V. Ambrosio, Nontrivial solutions for a fractional $p$ -Laplacian problem via Rabier Theorem, Complex Var. Elliptic Equ. 62 (2017), no. 6, 838–847.

V. Ambrosio, Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method, Ann. Mat. Pura Appl. (4) 196 (2017), no. 6, 2043–2062.

V. Ambrosio and T. Isernia, Concentration phenomena for a fractional Schrödinger-Kirchhoff type problem, Math. Methods Appl. Sci. 41 (2018), no. 2, 615–645.

V. Ambrosio, On the existence of periodic solutions for a fractional Schrödinger equation, Proc. Amer. Math. Soc. 146 (2018), no. 9, 3767–3775.

V. Ambrosio and T. Isernia, Sign-changing solutions for a class of Schrödinger equations with vanishing potentials, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 29 (2018), no. 1, 127–152.

V. Ambrosio, Infinitely many small energy solutions for a fractional Kirchhoff equation involving sublinear nonlinearities, Proceedings of the International Conference “Two nonlinear days in Urbino 2017”, 1-13, Electron. J. Differ. Equ. Conf., 25, 2018.

V. Ambrosio, A multiplicity result for a fractional $p$ -Laplacian problem without growth conditions, Riv. Mat. Univ. Parma 9 (2018), 67–85.

V. Ambrosio, L. D’Onofrio and G. Molica Bisci, On nonlocal fractional Laplacian problems with oscillating potentials, Rocky Mountain J. Math. 48 (2018), no. 5, 1399–1436.

V. Ambrosio and P. d’Avenia, Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity, J. Differential Equations 264 (2018), no. 5, 3336–3368.

V. Ambrosio, An existence result for a fractional Kirchhoff–Schrödinger–Poisson system, Z. Angew. Math. Phys. 69 (2018), no. 2, 69:30.

V. Ambrosio, Periodic solutions for critical fractional problems, Calc. Var. Partial Differential Equations 57 (2018), no. 2, 57:45.

V. Ambrosio, Mountain pass solutions for the fractional Berestycki-Lions problem, Adv. Differential Equations 23 (2018), no. 5-6, 455–488.

V. Ambrosio and T. Isernia, A multiplicity result for a fractional Kirchhoff equation in $\mathbb{R}^{N}$ with a general nonlinearity, Commun. Contemp. Math. 20 (2018), no. 5, 1750054, 17 pp.

V. Ambrosio, On the existence of weak solutions for a $1$ -D free-boundary concrete carbonation problem, Acta Appl. Math. 156 (2018), 109–132.

V. Ambrosio, Zero mass case for a fractional Berestycki-Lions type problem, Adv. Nonlinear Anal. 7 (2018), no. 3, 365–374.

V. Ambrosio and H. Hajaiej, Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in $\mathbb{R}^{N}$ , J. Dynam. Differential Equations 30 (2018), no. 3, 1119–1143.

V. Ambrosio, J. Mawhin and G. Molica Bisci, (Super)Critical nonlocal equations with periodic boundary conditions, Selecta Math. (N.S.) 24 (2018), no. 4, 3723–3751.

V. Ambrosio, Concentration phenomena for critical fractional Schrödinger systems, Commun. Pure Appl. Anal. 17 (2018), no. 5, 2085–2123.

C. O. Alves and V. Ambrosio, A multiplicity result for a nonlinear fractional Schrödinger equation in $\mathbb{R}^{N}$ without the Ambrosetti-Rabinowitz condition, J. Math. Anal. Appl. 466 (2018), no. 1, 498–522.

V. Ambrosio, Multiple solutions for superlinear fractional problems via theorems of mixed type, Adv. Nonlinear Stud. 18 (2018), no. 4, 799–817.

V. Ambrosio and T. Isernia, Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional $p$ -Laplacian, Discrete Contin. Dyn. Syst. 38 (2018), no.11, 5835–5881.

V. Ambrosio, Boundedness and decay of solutions for some fractional magnetic Schrödinger equations in $\mathbb{R}^{N}$ , Milan J. Math. 86 (2018), no. 2, 125–136.

V. Ambrosio and T. Isernia, On a fractional $p\&q$ Laplacian problem with critical Sobolev-Hardy exponents, Mediterr. J. Math. 15 (2018), no. 6, 15:219.

V. Ambrosio, T. Isernia and G. Siciliano, On a fractional $p\&q$ Laplacian problem with critical growth, Minimax Theory Appl. 4 (2019), no. 1, 1–19.

V. Ambrosio, A. Fiscella and T. Isernia, Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems, Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 25, 13 pp.

V. Ambrosio, Concentration phenomena for a fractional Choquard equation with magnetic field, Dyn. Partial Differ. Equ. 16 (2019), no. 2, 125–149.

V. Ambrosio, Concentrating solutions for a class of nonlinear fractional Schrödinger equations in $\mathbb{R}^{N}$ , Rev. Mat. Iberoam. 35 (2019), no. 5, 1367–1414.

V. Ambrosio, Multiplicity and concentration of solutions for fractional Schrödinger systems via penalization method, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 30 (2019), no. 3, 543–581.

V. Ambrosio, Multiplicity and concentration results for a fractional Choquard equation via penalization method, Potential Anal. 50 (2019), no. 1, 55–82.

V. Ambrosio, G.M. Figueiredo, T. Isernia and G. Molica Bisci, Sign–changing solutions for a class of zero mass nonlocal Schrödinger equations, Adv. Nonlinear Stud. 19 (2019), no. 1, 113–132.

S. Rastegarzadeh, N. Nyamoraedi and V. Ambrosio, Existence and multiplicity of solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities, J. Fixed Point Theory Appl. 21 (2019), no. 1, 21:19.

V. Ambrosio, G. Molica Bisci and D. Repov\v s, Nonlinear equations involving the square root of the Laplacian, Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 2, 151–170.

C.O. Alves, V. Ambrosio and C. Torres, Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian, Anal. Appl. (Singap.) 17 (2019), no. 3, 425–451.

V. Ambrosio, On a fractional magnetic Schrödinger equation in $\mathbb{R}$ with exponential critical growth, Nonlinear Anal. 183 (2019), 117–148.

V. Ambrosio and G. Molica Bisci, Periodic solutions for a fractional asymptotically linear problem, Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 3, 593–615.

C.O. Alves, V. Ambrosio and T. Isernia, Existence, multiplicity and concentration for a class of fractional $p\&q$ Laplacian problems in $\mathbb{R}^{N}$ , Commun. Pure Appl. Anal. 18 (2019), no. 4, 2009–2045.

V. Ambrosio, Multiplicity and concentration of solutions for a fractional Kirchhoff equation with magnetic field and critical growth, Ann. Henri Poincaré 20 (2019), no. 8, 2717–2766.

V. Ambrosio, Existence and concentration results for some fractional Schrödinger equations in $\mathbb{R}^{N}$ with magnetic fields, Comm. Partial Differential Equations 44 (2019), no. 8, 637–680.

V. Ambrosio and T. Isernia, On the multiplicity and concentration for $p$ -fractional Schrödinger equations, Appl. Math. Lett. 95 (2019), 13–22.

V. Ambrosio and R. Servadei, Supercritical Fractional Kirchhoff type problems, Fract. Calc. Appl. Anal. 22 (2019), no. 5, 1351–1377.

V. Ambrosio, On the multiplicity and concentration of positive solutions for a $p$ -fractional Choquard equation in $\mathbb{R}^{N}$ , Comput. Math. Appl. 78 (2019), no. 8, 2593–2617.

V. Ambrosio, Concentrating solutions for a magnetic Schrödinger equation with critical growth, J. Math. Anal. Appl. 479 (2019), no. 1, 1115–1137.

V. Ambrosio, Infinitely many periodic solutions for a class of fractional Kirchhoff problems, Monatsh. Math. 190 (2019), no. 4, 615–639.

V. Ambrosio, Concentrating solutions for a fractional Kirchhoff equation with critical growth, Asymptot. Anal. 116 (2020), no. 3-4, 249–278.

V. Ambrosio, A local mountain pass approach for a class of fractional NLS equations with magnetic fields, Nonlinear Anal. 190 (2020), 111622, 14 pp.

V. Ambrosio, On some convergence results for fractional periodic Sobolev spaces, Opuscula Math. 40, no. 1 (2020), 5–20.

V. Ambrosio, R. Bartolo and G. Molica Bisci, A multiplicity result for a non-local parametric with periodic boundary conditions, Ark. Mat. 58 (2020), no. 1, 1–18.

V. Ambrosio, Fractional $p\&q$ Laplacian problems in $\mathbb{R}^{N}$ with critical growth, Z. Anal. Anwend. 39 (2020), no. 3, 289–314.

V. Ambrosio, Multiplicity and concentration results for a class of critical fractional Schrödinger-Poisson systems via penalization method, Commun. Contemp. Math. 22 (2020), no. 1, 1850078, 45 pp.

V. Ambrosio, G.M. Figueiredo and T. Isernia, Existence and concentration of positive solutions for a fractional $p$ -Laplacian problem with critical growth, Ann. Mat. Pura Appl. (4) 199 (2020), no. 1, 317–344.

V. Ambrosio, Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields, Discrete Contin. Dyn. Syst. 40 (2020), no. 2, 781–815.

V. Ambrosio, An Ambrosetti-Prodi type-result for fractional spectral problems, Math. Nachr. 293 (2020), no. 3, 412–429.

V. Ambrosio, Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth, Potential Anal. 52 (2020), no. 4, 565–600.

V. Ambrosio, Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field, Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 2, 655–694.

V. Ambrosio, Multiplicity of solutions for fractional Schrödinger systems in $\mathbb{R}^{N}$ , Complex Var. Elliptic Equ. 65 (2020), no. 5, 856–885.

V. Ambrosio, L. Freddi and R. Musina, Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded, J. Math. Anal. Appl. 485 (2020), no. 2, 123845, 17 pp.

V. Ambrosio, Concentration phenomena for a class of fractional Kirchhoff equations in $\mathbb{R}^{N}$ with general nonlinearities, Nonlinear Anal. 195 (2020), 111761, 39 pp.

V. Ambrosio and V. Radulescu, Fractional double-phase patterns: concentration and multiplicity of solutions, J. Math. Pures Appl. (9) 142 (2020), 101–145.

V. Ambrosio, Existence and concentration of nontrivial solutions for a fractional magnetic Schrödinger-Poisson type equation, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 21 (2020), 1023–1061.

V. Ambrosio and D. Repovs, Multiplicity and concentration results for a $(p, q)$ -Laplacian problem in $\mathbb{R}^{N}$ , Z. Angew. Math. Phys. 72 (2021), no. 1, Paper No. 33, 33 pp.

V. Ambrosio, T. Isernia and V. Radulescu, Concentration of positive solutions for a fractional $p$ -Kirchhoff type equation, Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), no. 2, 601–651.

V. Ambrosio and T. Isernia, Multiplicity of positive solutions for a fractional $p\& q$ -Laplacian problem in $\mathbb{R}^{N}$ , J. Math. Anal. Appl. 501 (2021), no. 1, 124487.

N. Nyamoradi and V. Ambrosio, Existence and non-existence results for fractional Kirchhoff Laplacian problems, Anal. Math. Phys. 11 (2021), no.3, Paper No. 125, 25 pp.

S. Amiri, N. Nyamoradi, A. Behzadi and V. Ambrosio, Existence and multiplicity of positive solutions to fractional Laplacian systems with combined critical Sobolev terms, Positivity 25 (2021), no.4, 1373–1402

V. Ambrosio, The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results, Discrete Contin. Dyn. Syst. 41 (2021), no.12, 5659–5705

C.O. Alves, V. Ambrosio and C. Torres, An existence result for a class of magnetic problems in exterior domains, Milan J. Math. 89 (2021), no. 2, 523–550.

V. Ambrosio, A note on the boundedness of solutions for fractional relativistic Schrödinger equations, Bull. Math. Sci. 12, (2022), no.2, Paper no. 2150010, 14pp.

V. Ambrosio, Concentration phenomena for fractional magnetic NLS, Proc. Roy. Soc. Edinburgh Sect. A. 152 (2022), no. 2, 479–517.

V. Ambrosio and D. Repovs, On a class of Kirchhoff problems via local mountain pass, Asymptot. Anal. 126 (2022), no. 1-2, 1–43.

V. Ambrosio, On the fractional relativistic Schrödinger operator, J. Differential Equations 308 (2022), 327–368.

V. Ambrosio and T. Isernia, A multiplicity result for a $(p, q)$ -Schrödinger-Kirchhoff type equation, Ann. Mat. Pura Appl. (4) 201 (2022), no. 2, 943–984.

V. Ambrosio, Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations, Asymptot. Anal, 128 (2022), no. 2, 239–272.

V. Ambrosio, A strong maximum principle for the fractional $(p, q)$ -Laplacian operator, Appl. Math. Lett. 126 (2022), Paper No. 107813, 10 pp.

V. Ambrosio, A Kirchhoff type equation in $\mathbb{R}^N$ involving the fractional $(p, q)$ -Laplacian, J. Geom. Anal. 32 (2022), no. 4, Paper No. 135, 46 pp.

V. Ambrosio, Fractional $(p, q)$ -Schrödinger equations with critical and supercritical growth, Appl. Math. Optim. 86 (2022), no. 3, Paper No. 31.

Libro

V. Ambrosio, Nonlinear fractional Schrödinger equations in $\mathbb{R}^{N}$ , Frontiers in Elliptic and Parabolic Problems. Birkhäuser/Springer, Cham, (2021), 662 pp.
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