| 1 | Roussy G , Pearcy J A . Foundations and Industrial Applications of Microwaves and Radio Frequency Fields. New York: Wiley, 1995 | | 2 | Barbu V . Nonlinear boundary value problems for a class of hyperbolic systems. Rev Roum Math Pures Appl, 1977, 22, 155- 168 | | 3 | Deng N , Feng M . New results of positive doubly periodic solutions to telegraph equations. Electron Res Arch, 2022, 30, 1104- 1125 | | 4 | Li Y . Positive doubly periodic solutions of nonlinear telegraph equations. Nonlinear Anal, 2003, 55, 245- 254 | | 5 | Wang F , An Y . Existence and multiplicity results of positive doubly periodic solutions for nonlinear telegraph system. J Math Anal Appl, 2009, 349, 30- 42 | | 6 | Wang F , An Y . Doubly periodic solutions to a coupled telegraph system. Nonlinear Anal, 2012, 75, 1887- 1894 | | 7 | Li Y . Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations. J Math Anal Appl, 2007, 327, 997- 1009 | | 8 | Ortega R , Robles-Pérez A M . A maximum principle for periodic solutions of the telegraph equations. J Math Anal Appl, 1998, 221, 625- 651 | | 9 | Mawhin J , Ortega R , Robles-Pérez A M . Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications. J Differential Equations, 2005, 208, 42- 63 | | 10 | Mawhin J , Ortega R , Robles-Pérez A M . A maximum principle for bounded solutions of the telegraph equation in space dimension three. C R Acad Sci Paris Ser I, 2002, 334, 1089- 1094 | | 11 | Mawhin J , Ortega R , Robles-Pérez A M . A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings. J Math Anal Appl, 2000, 251, 695- 709 | | 12 | Gilding B H , Kersner R . Wavefront solutions of a nonlinear telegraph equation. J Differential Equations, 2013, 254, 599- 636 | | 13 | Hilbert D . über die gerade Linie als küzeste Verbindung zweier Punkte. Math Ann, 1895, 46, 91- 96 | | 14 | Birkhoff G . Extensions of Jentzch's theorem. Trans Amer Math Soc, 1957, 85, 219- 227 | | 15 | Bushell P J . Hilbert's metric and positive contraction mappings in a Banach space. Arch Rational Mech Anal, 1973, 52, 330- 338 | | 16 | Feng M . Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior. Adv Nonlinear Anal, 2021, 10, 371- 399 | | 17 | Feng M , Zhang X . On a $ k $-Hessian equation with a weakly superlinear nonlinearity and singular weights. Nonlinear Anal, 2020, 190, 111601 | | 18 | Zhang X , Feng M . The existence and asymptotic behavior of boundary blow-up solutions to the $ k $-Hessian equation. J Differential Equations, 2019, 267, 4626- 4672 | | 19 | Zhang X , Feng M . Boundary blow-up solutions to the Monge-Ampère equation: Sharp conditions and asymptotic behavior. Adv Nonlinear Anal, 2020, 9, 729- 744 | | 20 | Aviles P . On isolated singularities in some nonlinear partial differential equations. Indiana Univ Math J, 1983, 32, 773- 791 | | 21 | Gidas B , Spruck J . Global and local behavior of positive solutions of nonlinear elliptic equations. Comm Pure Appl Math, 1981, 34, 525- 598 | | 22 | Amann H . Fixed point equations and nonlinear eigenvalue problems in order Banach spaces. SIAM Rev, 1976, 18, 620- 709 | | 23 | Guo D , Lakshmikantham V . Nonlinear Problems in Abstract Cones. New York: Academic Press, 1988 | | 24 | 郭大钧. 非线性泛函分析. 山东: 山东科学技术出版社, 1985 | | 24 | Guo D J . Nonlinear Functional Analysis. Shandong: Shandong Science and Technology Press, 1985 | | 25 | Hardy G H , Littlewood J E , Pólya G . Inequalities. Second Edition. New York: Cambridge University Press, 1952 |
|
),冯美强*(