Papers

 

  1. A. Fiacca - N. Matzakos - N. S. Papageorgiou - R. Servadei: `Nonlinear elliptic differential equations with multivalued nonlinearities', Proc. Indian Acad. Sci. Math. Sci., Vol.111, No.4, 2001, pp.489-508.

  2. A. Fiacca - R. Servadei: `Extremal solutions for nonlinear Neumann problems', Discuss. Math. Differ. Incl. Control Optim., Issue 21 (2), 2001, pp.191-206.

  3. M. Matzeu - R. Servadei: `A Linking type method to solve a class of semilinear elliptic variational inequalities', Adv. Nonlinear Stud., Vol.2, No.1, 2002, pp.1-17. 

  4. P. Magrone - R. Servadei: `A stability result for Mountain Pass type solutions of semilinear elliptic variational  inequalities', Nonlinear Stud., Vol.9, No.4, 2002,  pp.387-405.

  5. T. Cardinali  - R. Servadei: `Existence theorems for periodic semilinear impulsive problems (viable and not viable cases)', Pure Math. Appl., Vol.14, No.3, 2003, pp.161-171.

  6. T. Cardinali - N. S. Papageorgiou - R. Servadei: `The Neumann problem for quasilinear differential equations', Arch. Math. (Brno), Vol.40, No.4, 2004, pp.321-333.

  7. T. Cardinali  - R. Servadei: `Periodic solutions of nonlinear impulsive differential inclusions with constraints', Proc. Amer. Math. Soc., Vol.132, No.8, 2004, pp.2339-2349.

  8. T. Cardinali  - R. Servadei: `On the existence of solutions for nonlinear impulsive periodic viable problems', Cent. Eur. J. Math., Vol.2, No.4, 2004, pp.573-583.

  9. R. Servadei - E. Valdinoci: `A multiplicity result for a class of nonlinear variational inequalities', Nonlinear Stud., Vol.12, No.1, 2005, pp.37-48.

  10. R. Servadei: `Mountain Pass and Linking methods for semilinear elliptic variational inequalities: existence, stability and multiplicity results', Ph.D. Thesis, University of Rome `Tor Vergata', 2004 (an abstract has appeared in Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8), Dec.2005/1).

  11. R. Servadei: `Existence results for semilinear elliptic variational inequalities with changing sign nonlinearities', NoDEA Nonlinear Differential Equations Appl., Vol.13, No.3, 2006, pp.311-335.

  12. P. Magrone - D. Mugnai - R. Servadei: `Multiplicity of solutions for semilinear variational inequalities via linking and $\nabla$-theorems', J. Differential Equations, Vol.228, 2006, pp.191-225.

  13. M. Grossi - R. Servadei: `Morse index for solutions of the nonlinear Schrodinger equation in a degenerate setting', Ann. Mat. Pura Appl., Vol.186, No.3, 2007, pp.433-453.

  14. P. Pucci - R. Servadei: `On weak solutions for p-Laplacian equations with weights', Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., Vol.18, 2007, pp.257-267.

  15. P. Pucci - R. Servadei: `Existence, non-existence and regularity of radial ground states for p-Laplacian equations with singular weights', Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol.25, No.3, 2008, pp.505-537.

  16. P. Pucci - R. Servadei: `Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations', Indiana Univ. Math. J., Vol.57, No.7, 2008, pp.3329-3363.

  17. M. Matzeu - R. Servadei: `Semilinear elliptic variational inequalities with dependence on the gradient via Mountain Pass techniques', Nonlinear Anal., Vol.72, 2010, pp.4347-4359.

  18. R. Servadei - M. Squassina: `Soliton dynamics for a general class of Schrodinger equations', J. Math. Anal. Appl., Vol.365, 2010, pp.776-796.

  19. P. Pucci - R. Servadei: `Nonexistence for p-Laplace equations with singular weights', Commun. Pure Appl. Anal., Vol.9, No.5, 2010, pp.1421-1438.

  20. M. Matzeu - R. Servadei: `Stability for semilinear elliptic variational inequalities depending on the gradient', Nonlinear Anal., Vol.74, 2011, pp.5161-5170.

  21. R. Servadei: `A semilinear elliptic PDE not in divergence form via variatonal methods', J. Math. Anal. Appl., Vol.383, 2011, pp.190-199.

  22. M. Matzeu - R. Servadei: `A variational approach to a class of quasilinear elliptic equations not in divergence form', Discrete Contin. Dyn. Syst. Ser. S, Vol.5, No.4, 2012, pp.819-830.

  23. R. Servadei - E. Valdinoci: `Mountain Pass solutions for non-local elliptic operators', J. Math. Anal. Appl., Vol.389, 2012, pp.887-898.

  24. M. Matzeu - R. Servadei: `On variational inequalities driven by elliptic operators not in divergence form', Adv. Nonlinear Stud., Vol.12, 2012, pp.597-619.

  25. R. Servadei - E. Valdinoci: `Variational methods for non-local operators of elliptic type', Discrete Contin. Dyn. Syst., Vol.33, No.5, 2013, pp.2105-2137.

  26. R. Servadei - E. Valdinoci: `Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators', Rev. Mat. Iberoam., Vol.29, No.3, 2013, pp.1091-1126.

  27. R. Servadei: `Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity', Contemp. Math., Vol.595, 2013, pp.317-340.

  28. R. Servadei - E. Valdinoci: `A Brezis-Nirenberg result for non-local critical equations in low dimension', Commun. Pure Appl. Anal., Vol.12, No.6, 2013, pp.2445-2464.

  29. R. Servadei: `The Yamabe equation in a non-local setting', Adv. Nonlinear Anal., Vol.2, 2013, pp.235-270.

  30. A. Fiscella - R. Servadei - E. Valdinoci: `A resonance problem for non-local elliptic operators', Z. Anal. Anwendungen, Vol.32, 2013, pp.411-431.

  31. R. Servadei - E. Valdinoci: `Weak and viscosity solutions of the fractional Laplace equation', Publ. Mat., Vol.58, No.1, 2014, pp.133-154.

  32. G. Molica Bisci - V. Radulescu - R. Servadei: `Low and high energy solutions of nonlinear elliptic oscillatory problems', C. R. Acad. Sci. Paris Ser. I, Vol.352, 2014, pp.117-122.

  33. R. Servadei: `A critical fractional Laplace equation in the resonant case', Topol. Methods Nonlinear Anal., Vol.43, No.1, 2014, pp.251-267.

  34. R. Servadei - E. Valdinoci: `On the spectrum of two different fractional operators', Proc. Roy. Soc. Edinburgh Sect. A, Vol.144, 2014, pp.831-855.

  35. R. Servadei - E. Valdinoci: `The Brezis-Nirenberg result for the fractional Laplacian', Trans. Amer. Math. Soc., Vol.367, No.1, 2015, pp.67-102.

  36. G. Molica Bisci - R. Servadei: `A Brezis-Nirenberg splitting approach for nonlocal fractional problems', Nonlinear Anal., Vol.119, 2015, pp.341-353.

  37. A. Fiscella - R. Servadei - E. Valdinoci: `Density properties for fractional Sobolev spaces', Ann. Acad. Sci. Fenn. Math., Vol.40, 2015, pp.235-253.

  38. G. Molica Bisci - R. Servadei: `A bifurcation result for nonlocal fractional equations', Anal. Appl., Vol.13, No.4, 2015, pp.371-394.

  39. G. Molica Bisci - R. Servadei: `Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent', Adv. Differential Equations, Vol.20, No.7-8, 2015, pp.635-660.

  40. Z. Binlin - G. Molica Bisci - R. Servadei: `Superlinear nonlocal fractional problems with infinitely many solutions', Nonlinearity, Vol.28, 2015, pp.2247-2264.

  41. B. Barrios - E. Colorado - R. Servadei - F. Soria: `A critical fractional equation with concave-convex power nonlinearities', Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol.32, 2015, pp.875-900.

  42. R. Servadei - E. Valdinoci: `Fractional Laplacian equations with critical Sobolev exponent', Rev. Mat. Complut., Vol.28, No.3, 2015, pp.655-676.

  43. G.M. Figueiredo - G. Molica Bisci - R. Servadei: `On a fractional Kirchhoff-type equation via Krasnoselskii's genus', Asymptot. Anal., Vol.94, 2015, pp.347-361.

  44. A. Fiscella - R. Servadei - E. Valdinoci: `Asymptotically linear problems driven by fractional Laplacian operators', Math. Methods Appl. Sci., Vol.38, No.16, 2015, pp.3551-3563.

  45. A. Fiscella - G. Molica Bisci - R. Servadei: `Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems', Bull. Sci. Math., Vol.140, 2016, pp.14-35.

  46. G. Molica Bisci - V. Radulescu - R. Servadei: `Variational methods for nonlocal fractional problems', Encyclopedia of Mathematics and its Applications, 162, 2016, Cambridge University Press, ISBN 9781107111943.

  47. A. Greco - R. Servadei: `Hopf's lemma and constrained radial symmetry for the fractional Laplacian', Math. Res. Lett., Vol.23, No.3, 2016, pp.863-885.

  48. G. Molica Bisci - R. Servadei: `An eigenvalue problem for nonlocal equations', Bruno Pini Math. Anal. Semin., Vol.7, 2016, pp.69-84.

  49. G. Molica Bisci - D. Repovs - R. Servadei: `Nontrivial solutions of superlinear nonlocal problems', Forum Math., Vol.28, 2016, pp.1095-1110.

  50. G. Molica Bisci - V. Radulescu - R. Servadei: `Competition phenomena for elliptic equations involving a general operator in divergence form', Anal. Appl., Vol.15, No.1, 2017, pp.51-82.

  51. G. Molica Bisci - D. Repovs - R. Servadei: `Nonlinear problems on the Sierpinski gasket', J. Math. Anal. Appl., Vol.452, 2017, pp.883-895.

  52. G. Molica Bisci - D. Mugnai - R. Servadei: `On multiple solutions for nonlocal fractional problems via $\nabla$-theorems', Differential Integral Equations, Vol.30, no.9-10, 2017, pp.641-666.

  53. A. Fiscella - G. Molica Bisci - R. Servadei: `Multiplicity results for fractional Laplace problems with critical growth', to appear in Manuscripta Math.

Papers submitted for publication

  1. G.M. Figueiredo - G. Molica Bisci - R. Servadei: `The effect of the domain topology on the number of solutions of fractional Laplace problems', preprint, submitted for publication.