1 |
M. Massar, E. M. Hssini, N. Tsouli, and M. Talbi, Infinitely many solutions for a fourth-order Kirchhoff type elliptic problem, J. Math. Comput. Sci. 8 (2014), no. 1, 33-51. https://doi.org/10.22436/jmcs.08.01.04
DOI
|
2 |
B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000), no. 1-2, 401-410. https://doi.org/10.1016/S0377-0427(99)00269-1
DOI
|
3 |
B. Ricceri, On an elliptic Kirchhoff-type problem depending on two parameters, J. Global Optim. 46 (2010), no. 4, 543-549. https://doi.org/10.1007/s10898-009-9438-7
DOI
|
4 |
F. Wang and Y. An, Existence and multiplicity of solutions for a fourth-order elliptic equation, Bound. Value Probl. 2012 (2012), no. 6, 9 pp. https://doi.org/10.1186/1687-2770-2012-6
DOI
|
5 |
F. Wang, M. Avci, and Y. An, Existence of solutions for fourth order elliptic equations of Kirchhoff type, J. Math. Anal. Appl. 409 (2014), no. 1, 140-146. https://doi.org/10.1016/j.jmaa.2013.07.003
DOI
|
6 |
G. Anello, A uniqueness result for a nonlocal equation of Kirchhoff type and some related open problem, J. Math. Anal. Appl. 373 (2011), no. 1, 248-251. https://doi.org/10.1016/j.jmaa.2010.07.019
DOI
|
7 |
C. O. Alves, F. J. S. A. Correa, and T. F. Ma, Positive solutions for a quasilinear elliptic equation of Kirchhoff type, Comput. Math. Appl. 49 (2005), no. 1, 85-93. https://doi.org/10.1016/j.camwa.2005.01.008
DOI
|
8 |
M. Benalili and K. Tahri, Nonlinear elliptic fourth order equations existence and multiplicity results, NoDEA Nonlinear Differential Equations Appl. 18 (2011), no. 5, 539-556. https://doi.org/10.1007/s00030-011-0106-5
DOI
|
9 |
M. Ferrara, S. Khademloo, and S. Heidarkhani, Multiplicity results for perturbed fourthorder Kirchhoff type elliptic problems, Appl. Math. Comput. 234 (2014), 316-325. https://doi.org/10.1016/j.amc.2014.02.041
DOI
|
10 |
J. Garcia Azorero and I. Peral Alonso, On limits of solutions of elliptic problems with nearly critical exponent, Comm. Partial Differential Equations 17 (1992), no. 11-12, 2113-2126. https://doi.org/10.1080/03605309208820916
DOI
|
11 |
G. Kirchhoff, Mechanik, Teubner, Leipzig, 1883.
|
12 |
J.-L. Lions, On some questions in boundary value problems of mathematical physics, in Contemporary developments in continuum mechanics and partial differential equations (Proc. Internat. Sympos., Inst. Mat., Univ. Fed. Rio de Janeiro, Rio de Janeiro, 1977), 284-346, North-Holland Math. Stud., 30, North-Holland, Amsterdam, 1978.
DOI
|
13 |
Adimurthi and S. L. Yadava, An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem, Arch. Rational Mech. Anal. 127 (1994), no. 3, 219-229. https://doi.org/10.1007/BF00381159
DOI
|
14 |
S. Hu and L. Wang, Existence of nontrivial solutions for fourth-order asymptotically linear elliptic equations, Nonlinear Anal. 94 (2014), 120-132. https://doi.org/10.1016/j.na.2013.08.008
DOI
|
15 |
Y.-M. Wang, On fourth-order elliptic boundary value problems with nonmonotone nonlinear function, J. Math. Anal. Appl. 307 (2005), no. 1, 1-11. https://doi.org/10.1016/j.jmaa.2004.09.063
DOI
|