| 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 | | 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 | | 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 | | 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 | | 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 | | 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 | | 15 | Zou W, Schechter M. Critical Point Theory and Its Applications. New York:Springer, 2006 |
|