Publications

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  • C. Bucur, M Medina. A fractional elliptic problem in Rn with critical growth and convex nonlinearities. Manuscripta Mathematica, 371-400, 2018. doi: 10.1007/s00229-018-1032-1.

  • C. Bucur. Essentials of Nonlocal Operators. De Gruyter Open, 2018.

  • C. Bucur, M Squassina. Asymptotic mean value properties for fractional anisotropic operators. Journal of Mathematical Analysis and Applications, 107-126, 2018. doi: 10.1016/j.jmaa.2018.05.063.

  • C. Bucur, L Lombardini, E. Valdinoci. Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 655-703, 2018. doi: 10.1016/j.anihpc.2018.08.003.

  • C. Bucur. Local density of Caputo-stationary functions in the space of smooth functions. ESAIM: Control, Optimisation and Calculus of Variations, 23, 1361-1380, 2017. doi: 10.1051/cocv/2016056.

  • C. Bucur, Aram L Karakhanyan. Potential theoretic approach to schauder estimates for the fractional laplacian. Proceedings of the American Mathematical Society, 145, 637-651, 2017. doi: 10.1090/proc/13227.

  • C. Bucur, E. Valdinoci. Nonlocal Phase Transitions. 20, 67-95, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. Nonlocal Minimal Surfaces. 20, 97-126, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. Nonlocal Diffusion and Applications Preface. 20, V-+, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. Extension Problems. 20, 39-65, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. An Introduction to the Fractional Laplacian. 20, 7-37, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. Nonlocal Diffusion and Applications Introduction. 20, XI-XII, SPRINGER, 2016.

  • C. Bucur. Some observations on the Green function for the ball in the fractional Laplace framework. Communications on Pure and Applied Analysis, 15, 657-699, 2016. doi: 10.3934/cpaa.2016.15.657.

  • C. Bucur, E. Valdinoci. A Nonlocal Nonlinear Stationary Schrodinger Type Equation. 20, 127-138, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. Alternative Proofs of Some Results. 20, 139-148, SPRINGER, 2016.

  • C. Bucur, E. Valdinoci. A Probabilistic Motivation. 20, 1-5, SPRINGER, 2016.

  • C. Bucur, Fausto Ferrari. An extension problem for the fractional derivative defined by marchaud. Fractional Calculus and Applied Analysis, 19, 867-887, 2016. doi: 10.1515/fca-2016-0047.

  • C. Bucur, E. Valdinoci. Nonlocal diffusion and applications. Springer, 2015.