References
- Caffarelli L. Nonlocal equations, drifts and games. Abel Symposia; 2012. p. 37–52 (Nonlinear partial differential equations; vol. 7).
- Di Nezza E, Palatucci G, Valdinoci E. Hitchhiker's guide to the fractional Sobolev spaces. Bull Sci Math. 2012;136:521–573. doi: 10.1016/j.bulsci.2011.12.004
- Bucur C, Valdinoci E. Nonlocal diffusion and applications. Bologna: Springer, Unione Matematica Italiana; 2016. xii+155 pp. (Lecture notes of the Unione Matematica Italiana; 20).
- Bucur C. A symmetry result in R2 for global minimizers of a general type of nonlocal energy. arXiv:1708.04924.
- Goyal S, Sreenadh K. Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function. Adv Nonlinear Anal. 2015;4(1):37–58.
- Barrios B, Colorado E, Servadei R, et al. A critical fractional equation with concave–convex power nonlinearities. Ann Inst Henri Poincaré Non Linéaire Anal. 2015;32:875–900. doi: 10.1016/j.anihpc.2014.04.003
- Brändle C, Colorado E, de Pablo A, et al. A concave–convex elliptic problem involving the fractional Laplacian. Proc Roy Soc Edinburgh Sect A. 2013;143:39–71. doi: 10.1017/S0308210511000175
- Chen W, Deng S. The Nehari manifold for a non-local elliptic operator involving concave–convex nonlinearities. Z Angew Math Phys. 2015;66:1387–1400. doi: 10.1007/s00033-014-0486-6
- Di Castro A, Kuusi T, Palatucci G. Local behavior of fractional p-minimizers. Ann Inst Henri Poincaré Non Linéaire Anal. 2015;33(5):1279–1299. doi: 10.1016/j.anihpc.2015.04.003
- Lindgren E, Lindqvist P. Fractional eigenvalues. Calc Var Partial Differ Equ. 2014;49:795–826. doi: 10.1007/s00526-013-0600-1
- Iannizzotto A, Squassina M. Weyl-type laws for fractional p-eigenvalue problems. Asymptot Anal. 2014;88(4):233–245.
- Bucur C, Medina M. A fractional elliptic problem in Rn with critical growth and convex nonlinearities. Manus Math. 2019;158(3–4):371–400. doi: 10.1007/s00229-018-1032-1
- Chen W, Deng S. Multiple solutions for a critical fractional elliptic system involving concave–convex nonlinearities. Proc Roy Soc Edinburgh Sect A. 2016;146(6):1167–1193. doi: 10.1017/S0308210516000032
- Chen W, Gui Y. Multiple solutions for a fractional p-Kirchhoff problem with Hardy nonlinearity. Nonlinear Anal. 2019;188:316–338. doi: 10.1016/j.na.2019.06.009
- Cotsiolis A, Tavoularis N. Best constants for Sobolev inequalities for higher order fractional derivatives. J Math Anal Appl. 2004;295:225–236. doi: 10.1016/j.jmaa.2004.03.034
- Lehrer R, Maia LA, Squassina M. On fractional p-Laplacian problems with weight. Differ Integ Equ. 2015;28(1/2):15–28.
- Iannizzotto A, Liu S, Perera K, et al. Existence results for fractional p-Laplacian problems via Morse theory. Adv Calc Var. 2016;9(2):101–125. doi: 10.1515/acv-2014-0024
- Perera K, Squassina M, Yang Y. Bifurcation results for critical growth fractional p-Laplacian problems. Math Nachr. 2016;289:332–342. doi: 10.1002/mana.201400259
- Xiang M, Zhang B, Rădulescu V. Existence of solutions for perturbed fractional p-Laplacian equations. J Differ Equ. 2016;260(2):1392–1413. doi: 10.1016/j.jde.2015.09.028
- Servadei R, Valdinoci E. Variational methods for non-local operators of elliptic type. Discrete Contin Dyn Syst. 2013;33(5):2105–2137.
- Chen W, Deng S. The Nehari manifold for a fractional p-Laplacian system involving concave–convex nonlinearities. Nonlinear Anal Real World Appl. 2016;27:80–92. doi: 10.1016/j.nonrwa.2015.07.009
- Chen W, Squassina M. Critical nonlocal systems with concave–convex powers. Adv Nonlinear Stud. 2016;16(4):821–842. doi: 10.1515/ans-2015-5055
- Fu Y, Li H, Pucci P. Existence of nonnegative solutions for a class of systems involving fractional (p,q)-Laplacian operators. Chin Ann Math Ser B. 2018;39(2):357–372. doi: 10.1007/s11401-018-1069-1
- Xiang M, Zhang B, Wei Z. Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional p-Laplacian. Electron J Qual Theory Differ Equ. 2016;2016(107):1–15. doi: 10.14232/ejqtde.2016.1.107
- Xiang M, Zhang B, Rădulescu V. Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional p-Laplacian. Nonlinearity. 2016;29:3186–3205. doi: 10.1088/0951-7715/29/10/3186
- Rasouli S, Choubin M. The Nehari manifold approach for a class of n×n nonlinear elliptic systems. Monatsh Math. 2014;173:605–623. doi: 10.1007/s00605-013-0540-z
- Brown K, Zhang Y. The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function. J Differ Equ. 2003;193:481–499. doi: 10.1016/S0022-0396(03)00121-9
- Wu T. The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions. Nonlinear Anal. 2008;68(6):1733–1745. doi: 10.1016/j.na.2007.01.004
- Yang G, Wang M. Existence of multiple positive solutions for a p-Laplacian system with sign-changing weight functions. Comput Math Appl. 2008;55:636–653. doi: 10.1016/j.camwa.2007.03.025
- Del Pezzo L, Quaas A. Global bifurcation for fractional p-Laplacian and application. Z Anal Anwend. 2016;35(4):411–447. doi: 10.4171/ZAA/1572
- Servadei R, Valdinoci E. Lewy–Stampacchia type estimates for variational inequalities driven by (non)local operators. Rev Mat Iberoam. 2013;29(3):1091–1126. doi: 10.4171/RMI/750
- Franzina G, Palatucci G. Fractional p-eigenvalues. Riv Mat Univ Parma. 2013;5(2):373–386.
- Del Pezzo L, Fernandez Bonder J, Lopez Rios L. An optimization problem for the first eigenvalue of the p-fractional Laplacian. Math Nachr. 2018;291(4):632–651. doi: 10.1002/mana.201600110