| 1 |
King B B , Stein O , Winkler M . A fourth-order parabolic equation modeling epitaxial thin film growth. Journal of Mathematical Analysis and Applications, 2003, 286 (2): 459- 490
doi: 10.1016/S0022-247X(03)00474-8
|
| 2 |
Kajikiya R . A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations. Journal of Functional Analysis, 2005, 225 (2): 352- 370
|
| 3 |
Li D , Qiao Z , Tang T . Gradient bounds for a thin film epitaxy equation. Journal of Differential Equations, 2017, 262 (3): 1720- 1746
|
| 4 |
Li Q , Gao W , Han Y . Global existence blow up and extinction for a class of thin-film equation. Nonlinear Analysis:Theory, Methods & Applications, 2016, 147, 96- 109
|
| 5 |
Qu C , Zhou W . Blow-up and extinction for a thin-film equation with initial-boundary value conditions. Journal of Mathematical Analysis and Applications, 2016, 436 (2): 796- 809
doi: 10.1016/j.jmaa.2015.11.075
|
| 6 |
Sun F , Liu L , Wu Y . Infinitely many sign-changing solutions for a class of biharmonic equation with p-Laplacian and Neumann boundary condition. Applied Mathematics Letters, 2017, 73, 128- 135
doi: 10.1016/j.aml.2017.05.001
|
| 7 |
Sun J , Chu J , Wu T . Existence and multiplicity of nontrivial solutions for some biharmonic equations with p-Laplacian. Journal of Differential Equations, 2017, 262 (2): 945- 977
|
| 8 |
Winkler M . Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth. Zeitschrift für angewandte Mathematik und Physik, 2011, 62 (4): 575- 608
doi: 10.1007/s00033-011-0128-1
|
| 9 |
Rabinowitz P H . Minimax Methods in Critical Point Theory with Applications to Differential Equations. Providence, RI:Amer Math Soc, 1986
|
| 10 |
Weth T . Nodal solutions to superlinear biharmonic equations via decomposition in dual cones. Topological Methods in Nonlinear Analysis, 2006, 28 (1): 33- 52
|
| 11 |
Xu G , Zhang J . Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity. Journal of Mathematical Analysis and Applications, 2003, 281 (2): 633- 640
doi: 10.1016/S0022-247X(03)00170-7
|
| 12 |
Zhang J . Existence results for some fourth-order nonlinear elliptic problems. Nonlinear Analysis, 2001, 45 (1): 29- 36
|
| 13 |
Zhang J , Li S . Multiple nontrivial solutions for some fourth-order semilinear elliptic problems. Nonlinear Analysis:Theory, Methods & Applications, 2005, 60 (2): 221- 230
|
| 14 |
Zhou J , Wu X . Sign-changing solutions for some fourth-order nonlinear elliptic problems. Journal of Mathematical Analysis and Applications, 2008, 342 (1): 542- 558
doi: 10.1016/j.jmaa.2007.12.020
|
| 15 |
Zou W, Schechter M. Critical Point Theory and Its Applications. New York:Springer, 2006
|
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