참고문헌
- G. A. Afrouzi, S. Mahdavi, and Z. Naghizadeh, Existence of multiple solutions for a class of (p, q)-Laplacian systems, Nonlinear Anal. 72 (2010), no. 5, 2243-2250. https://doi.org/10.1016/j.na.2009.10.024
- A. Ambrosetti and P. H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), 349-381. https://doi.org/10.1016/0022-1236(73)90051-7
- C. Bai, Existence results for non-local operators of elliptic type, Nonlinear Anal. 83 (2013), 82-90. https://doi.org/10.1016/j.na.2013.01.012
- B. Barrios, E. Colorado, A. de Pablo, and U. Sanchez, On some critical problems for the fractional Laplacian operator, J. Differential Equations 252 (2012), no. 11, 6133-6162. https://doi.org/10.1016/j.jde.2012.02.023
- K. Bogdan, T. Byczkowski, T. Kulczycki, M. Ryznar, R. Song, and Z. Vondracek, Potential Analysis of Stable Processes and Its Extensions, Lecture Notes in Math., vol. 1980, Springer, 2009.
- G. Molica Bisci, Fractional equations with bounded primitive, Appl. Math. Lett. 27 (2014), 53-58. https://doi.org/10.1016/j.aml.2013.07.011
- L. A. Caffarelli, S. Salsa, and L. Silvestre, Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian, Invent. Math. 171 (2008), no. 2, 425-461. https://doi.org/10.1007/s00222-007-0086-6
- S. Dipierro and A. Pinamonti, A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian, J. Differential Equations 255 (2013), no. 1, 85-119. https://doi.org/10.1016/j.jde.2013.04.001
- P. Drabek and Y. X. Huang, Bifurcation problems for the p-Laplacian in RN, Trans. Amer. Math. Soc. 349 (1977), no. 1, 171-188. https://doi.org/10.1090/S0002-9947-97-01788-1
- E. Di Nezza, G. Palatucci, and E. Valdinoci, Hitchhiker's guide to the fractional Sobolev spaces, Bull. Sci. Math. 136 (2012), no. 5, 521-573. https://doi.org/10.1016/j.bulsci.2011.12.004
- M. Kwasnicki, Eigenvalues of the fractional Laplace operator in the interval, J. Funct. Anal. 262 (2012), no. 5, 2379-2402. https://doi.org/10.1016/j.jfa.2011.12.004
- R. Servadei and E. Valdinoci, Mountain Pass solutions for non-local elliptic operators, J. Math. Anal. Appl. 389 (2012), no. 2, 887-898. https://doi.org/10.1016/j.jmaa.2011.12.032
- R. Servadei and E. Valdinoci, Variational methods for non-local operators of elliptic type, Discrete Contin. Dyn. Syst. 33 (2013), no. 5, 2105-2137. https://doi.org/10.3934/dcds.2013.33.2105
- J. Tan, The Brezis-Nirenberg type problem involving the square root of the Laplacian, Calc. Var. Partial Differential Equations 36 (2011), no. 1-2, 21-41. https://doi.org/10.1007/s00526-010-0378-3
- B. Zhang, G. Molica Bisci, and R. Servadei, Superlinear nonlocal fractional problems with infinitely many solutions, Nonlinearity 28 (2015), no. 7, 2247-2264. https://doi.org/10.1088/0951-7715/28/7/2247
피인용 문헌
- Persistence and extinction of an n -species mutualism model with random perturbations in a polluted environment 2018, https://doi.org/10.1016/j.physa.2017.08.083
- Stability of a stochastic one-predator-two-prey population model with time delays vol.53, 2017, https://doi.org/10.1016/j.cnsns.2017.04.022
- On a systems involving fractional Kirchhoff-type equations and Krasnoselskii's genus pp.01704214, 2018, https://doi.org/10.1002/mma.5295