Existence of positive solution for a fractional elliptic equation in exterior domain
Tài liệu tham khảo
Alves, 2002, Existence of positive solutions for a problem with lack of compactness involving the p-Laplacian, Nonlinear Anal., 51, 1187, 10.1016/S0362-546X(01)00887-2
C.O. Alves, G.M. Figueiredo, G. Siciliano, Existence of solutions of the fractional critical Berestycki Lions problem type, 2018, CPPA, in press.
Ambrozio
Applebaum, 2004, Lévy processes- from probability to finance and quantum groups, Not. Am. Math. Soc., 51, 1336
Applebaum, 2009, Lévy Processes and Stochastic Calculus, vol. 116
Benci, 1990, Existence of positive solutions of the equation −Δu+a(x)u=uN+2N−2 in RN, J. Funct. Anal., 88, 90, 10.1016/0022-1236(90)90120-A
Benci, 1987, Positive solutions of some nonlinear elliptic problems in exterior domains, Arch. Ration. Mech. Anal., 99, 283, 10.1007/BF00282048
Berestycki, 1983, Nonlinear scalar field equations. I. Existence of a ground state, Arch. Ration. Mech. Anal., 82, 313, 10.1007/BF00250555
Berestycki, 1983, Nonlinear scalar field equation. II. Existence of infinitely many solutions, Arch. Ration. Mech. Anal., 82, 347, 10.1007/BF00250556
Berton, 1996, Lévy Processes, vol. 121
Bisci, 2016, Variational Methods for Nonlocal Fractional Problems. With a Foreword by Jean Mawhin
Brezis, 1983, A relation between pointwise convergence of functions and convergence of functionals, Proc. Am. Math. Soc., 88, 486, 10.2307/2044999
Coffman, 1986, Existence theorems for superlinear elliptic Dirichlet problems in domais, Arch. Ration. Mech. Anal., 96, 167, 10.1007/BF00251410
Cont, 2004
Di Nezza, 2012, Hitchhiker's guide to the fractional Sobolev spaces, Bull. Sci. Math., 136, 521, 10.1016/j.bulsci.2011.12.004
Esteban, 1982, Existence and non-existence results for semilinear elliptic problems in unbounded domais, Proc. R. Edinb. Soc., 93A, 1, 10.1017/S0308210500031607
Frank, 2013, Uniqueness of nonlinear ground states for fractional Laplacian in R, Acta Math., 210, 261, 10.1007/s11511-013-0095-9
Frank, 2016, Uniqueness of radial solutions for the fractional Laplacian, Commun. Pure Appl. Math., 69, 1671, 10.1002/cpa.21591
Hofer, 1982, Variational and topological methods in partially ordered Hilbert spaces, Math. Ann., 261, 493, 10.1007/BF01457453
Majda, 1996, A two-dimensional model for quasigeostrophic flow: comparison with the two-dimensional Euler flow, Phys. D, 98
Molica Bisci, 2016, Variational Methods for Nonlocal Fractional Problems, With a Foreword by Jean Mawhin, vol. 162
Rabinowitz, 1975, Variational methods for nonlinear eigenvalue problems, 141
Silvestre, 2007, Regularity of the obstacle problem for a fractional power to the Laplace operator, Commun. Pure Appl. Math., 60, 67, 10.1002/cpa.20153
Struwe, 1984, A global compactness result for elliptic boundary value problems involving limiting nonlinearities, Math. Z., 187, 511, 10.1007/BF01174186
Valdinoci, 2009, From the long jump random walk to the fractional Laplacian, Bol. Soc. Esp. Mat. Apl. Se MA, 49, 3344
Vlahos, 2008, Normal and anomalous diffusion: a tutorial. In order and chaos