CAPONI M, PUCCI P.Existence Theorems for Entire Solutions of Stationary Kirchhoff Fractional p-Laplacian Equations[J].Annali di Matematica Pura ed Applicata, 2016, 195(6):2099-2129. doi: 10.1007/s10231-016-0555-x
FISCELLA A, SERVADEI R, VALDINOCI E.Density Properties for Fractional Sobolev Spaces[J].Annales-Academiae Scientiarum Fennicae Mathematica, 2015, 40(1):235-253.
GAL C G, WARMA M.Reaction-Diffusion Equations with Fractional Diffusion on Non-SmoothDomains with various Boudary Conditions[J].Discrete and Continuous Dynamical Systems, 2016, 36(3).
LIONS J L, MAGENES E.Non-Homogeneous Boundary Value Problems and Applications[M].Berlin:Springer-Verlag, 1972.
ADAMS D R, HEDBERG L I.Function Spaces and Potential Theory[M].Berlin:Springer-Verlag, 1996, 265(2):249-263.
DIPIERRO S, PALATUCCI G, VALDINOCI E.Existence and Symmetry Results for a SchrödingerType Problem Involving the Fractional Laplacian[J].Le Matematiche (Catania), 2013, 68(1):201-216.
FELMER P, QUAAS A, TAN J.Positive Solutions of the Nonlinear Schrödinger Equation with theFractional Laplacian[J].Proceedings of the Royal Society of Edinburgh, 2012, 142(6):1237-1262. doi: 10.1017/S0308210511000746
FISCELLA A, PUCCI P.p-Fractional Kirchhoff Equations Involving Critical Nonlinearities[J].Nonlinear Analysis:Real World Applications, 2017, 35:350-378. doi: 10.1016/j.nonrwa.2016.11.004
赵文波, 李中平.一类指数边界非局部扩散方程的爆破[J].贵州师范大学学报(自然科学版), 2017, 35(3):69-73. doi: 10.3969/j.issn.1004-5570.2017.03.011
GAL C G, WARMA M.On some Degenerate Non-Local Parabolic Equation Associated with theFractionalp-Laplacian[J].Dynamics of Partial Differential Equations, 2016, 14(1).
LEVINE H A.Instability and Nonexistence of Global Solutions to Nonlinear Wave Equation of the Form Putt=-Au+F(u)[J].Transactions of the American Mathematical Society, 1974, 192:1-21.
XIANG M Q, GIOVANNI M B, TIAN G H, et al.Infinitely Many Solutions for theStationary Kirchhoff Problems Involving the Fractional p-Laplacian[J].Nonlinearity, 2016, 29(2):357. doi: 10.1088/0951-7715/29/2/357
NEZZA E D, PALATUCCI G, VALDINOCI E.Hitchhiker's Guide to the Fractional Sobolev Spaces[J].Bulletin Des Sciences Mathématiques, 2012, 136(5):521-573. doi: 10.1016/j.bulsci.2011.12.004
WARMA M.The Fractional Relative Capacity and the Fractional Laplacian with Neumann and Robin Boundary Conditions on Open Sets[J].Potential Analysis, 2015, 42(2):499-547. doi: 10.1007/s11118-014-9443-4
GRISVARD P.Elliptic Problems in Nonsmooth Domains[M].Marshfield:Pitman Publishing Inc, 1985.