[1]
|
C. A. Stuart and H. S. Zhou, “A Variational Problem Related to Self-Trapping of an Electromagnetic Field,” Mathematical Methods in the Applied Sciences, Vol. 19, No. 17, 1996, pp. 1397-1407.
doi:10.1002/(SICI)1099-1476(19961125)19:17<1397::AID-MMA833>3.0.CO;2-B
|
[2]
|
J. Louis, “On the Existence of Bounded Palais-Smale Sequences and Application to a Landesman-Lazer-Type Problem Set on ,” Proceedings of the Royal Society of Edinburgh: Section A, Vol. 129, No. 4, 1999, pp. 787-809.
|
[3]
|
P. L. Lions, “On the Existence of Positive Solutions of Semilinear Elliptic Equations,” SIAM Review, Vol. 24, No. 4, 1982, pp. 441-467. doi:10.1137/1024101
|
[4]
|
C. A. Stuart and H. S. Zhou, “Applying the Mountain Pass Theorem to an Asymptotically Linear Elliptic Equation on ,” Communications in Partial Differential Equations, Vol. 24, No. 9-10, 1999, pp. 1731-1758.
doi:10.1080/03605309908821481
|
[5]
|
J. Louis and T. Kazunaga, “A Positive Solution for an Asymptotically Linear Elliptic Problem on Autonomous at In?nity,” ESAIM: Control, Optimisation and Calculus of Variations, Vol. 7, 2002, pp. 597-614.
|
[6]
|
A. Antonio, F. Veronica and M. Andrea, “Ground States of Nonlinear Schr?dinger Equations with Potentials Vanishing at Infinity,” Journal of the European Mathematical Society, Vol. 7, No. 1, 2005, pp. 117-144.
|
[7]
|
C. Y. Liu, Z. P. Wang and H. S. Zhou, “Asymptotically Linear Schr?dinger Equation with Potential Vanishing Atinfinity,” Journal of Differential Equations, Vol. 245, No. 1, 2008, pp. 201-222. doi:10.1016/j.jde.2008.01.006
|
[8]
|
X. P. Zhu and H. S. Zhou, “Existence of Multiple Positive Solutions of Inhomogeneous Semilinear Elliptic Problems in Unbounded Domains,” Proceedings of the Royal Society of Edinburgh: Section A, Vol. 115, No. 3-4, 1990, pp. 301-318.
|
[9]
|
Z. P. Wang and H. S. Zhou, “Positive Solutions for a Nonhomogeneous Elliptic Equation on without (A-R) Condition,” Journal of Mathematical Analysis and Applications, Vol. 353, No. 1, 2009, pp. 470-479.
doi:10.1016/j.jmaa.2008.11.080
|
[10]
|
D. G. de Figueiredo, P. L. Lions and R. D. Nussbaum, “A Priori Estimates and Existence of Positive Solutions of Semilinear Elliptic Equations,” Journal de Mathématiques Pures et Appliquées, Vol. 9, No. 61, 1982, pp. 41-63.
|
[11]
|
Z. L. Liu, “Positive Solutions of Superlinear Elliptic Equations,” Journal of Functional Analysis, Vol. 167, No. 2, 1999, pp. 370-398. doi:10.1006/jfan.1999.3446
|
[12]
|
Z. L. Liu, S. J. Li and Z. Q. Wang, “Positive Solutions of Elliptic Boundary Value Problems without the (P.S.) Type Assumption,” Indiana University Mathematics Journal, Vol. 50, No. 3, 2001, pp. 1347-1369.
doi:10.1512/iumj.2001.50.1941
|
[13]
|
E. Ivar, “Convexity Methods in Hamiltonian Mechanics,” Springer-Verlag, Berlin, 1990.
|
[14]
|
G. B. Li and H. S. Zhou, “The Existence of a Weak Solution of Inhomogeneous Quasilinear Elliptic Equation with Critical Growth Conditions,” Acta Mathematica Sinica, Vol. 11, No. 2, 1995, pp. 146-155.
|
[15]
|
J. L. Vzquez, “A Strong Maximum Principle for Some Quasilinear Elliptic Equations,” Applied Mathematics & Optimization, Vol. 12, No. 3, 1984, pp. 191-202.
doi:10.1007/BF01449041
|