[1] Davies E B, Hinz A M. Explicit constants for Rellich inequalities in Lp(Ω). Math Z, 1998, 227:511-523
[2] Zhang J H. Existence results for some fourth-order nonlinear elliptic problems. Nonlin Anal, 2001, 45:29-36
[3] Xu G X, Zhang J H. Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity. J Math Anal Appl, 2003, 281:633-640
[4] Zhang J H, Li S J. Multiple nontrivial solutions for some fourth-order semilinear elliptic problems. Nonlin Anal, 2005, 60:221-230
[5] Zhou J W, Wu X. Sign-changing solutions for some fourth-order nonlinear elliptic problems. J Math Anal Appl, 2008, 342:542-558
[6] Weth T. Nodal solutions to superlinear biharmonic equations via decomposition in dual cones. Top Meth Nonlinear Anal, 2006, 28:33-52
[7] Wang Y J, Shen Y T. Nonlinear biharmonic equations with Hardy potential and critical parameter. J Math Anal Appl, 2009, 355:649-660
[8] Wang Y J, Shen Y T. Multiple and sign-changing solutions for a class of semilinear biharmonic equation. J Differential Equations, 2009, 246:3109-3125
[9] Wang W H, Zhao P H. Nonuniformly nonlinear elliptic equations of p-biharmonic type. J Math Anal Appl, 2008, 348:730-738
[10] Huang Y S, Liu X Q. Sign-changing solutions for p-biharmonic equations with Hardy potential. J Math Anal Appl, 2014, 412:142-154
[11] Molica Bisci G, Repovš D. Multiple solutions of p-biharmonic equations with Navier boundary conditions. Complex Var Elliptic Equ, 2014, 59(2):271-284
[12] Demarque R, Miyagaki O. Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings. Adv Nonlinear Anal, 2015, 4(2):135-151
[13] Geng D. Location of the blow up point for positive solutions of a biharmonic equation involving nearly critical exponent. Acta Mathematica Scientia, 2005, 25B(2):283-295
[14] Castorina D, Sanchón M. Regularity of stable solutions to semilinear elliptic equations on Riemannian models. Adv Nonlinear Anal, 2015, 4(4):295-309
[15] Rǎdulescu V. Nonlinear elliptic equations with variable exponent:old and new. Nonlin Anal, 2015, 121:336-369
[16] Liu Z L, Sun J X. Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations. J Differential Equations, 2001, 172:257-299
[17] Damascelli L. Comparision theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonity results. Ann Inst H Poincaré Anal Non Linéaire, 1998, 15:493-516
[18] Bartsch T, Liu Z L, Weth T. Nodal solutions for a p-Laplacian equation. Proc London Math Soc, 2005, 91:129-152
[19] Liu J Q, Liu X Q, Wang Z Q. Multiple mixed states of nodal solutions for nonlinear Schrödinger systems. Cal Var Part Diff Equ, 2015, 52:565-586
[20] Gilbarg D, Trudinger N S. Elliptic partial differential equations of second order. 3nd ed. Grundlehren 224. Berlin-Heidelberg-New York-Tokyo:Springer, 2001 |