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POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR p-LAPLACIAN WITH SIGN-CHANGING NONLINEAR TERMS
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 Title & Authors
POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR p-LAPLACIAN WITH SIGN-CHANGING NONLINEAR TERMS
Li, Xiangfeng; Xu, Wanyin;
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 Abstract
By using the fixed point index theory, we investigate the existence of at least two positive solutions for p-Laplace equation with sign-changing nonlinear terms $(\varphi_p(u`))`+a(t)f(t,u(t),u`(t))
 Keywords
p-Laplace equation;positive solution;boundary value problem;fixed point index theory;
 Language
English
 Cited by
 References
1.
R. P. Agarwal, D. O'Regan, and J. Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.

2.
X. Du and Z. Zhao, On existence theorems of positive solutions to nonlinear singular differential equations, Appl. Math. Comput. 190 (2007), no. 1, 542–552. crossref(new window)

3.
X. He, Double positive solutions of a three-point boundary value problem for the onedimensional p-Laplacian, Appl. Math. Lett. 17 (2004), no. 8, 867–873. crossref(new window)

4.
J. Li and J. Shen, Existence of three positive solutions for boundary value problems with p-Laplacian, J. Math. Anal. Appl. 311 (2005), no. 2, 457–465. crossref(new window)

5.
S. Li and Y. Sun, Nontrivial solution of a nonlinear second-order three-point boundary value problem, Appl. Math. J. Chinese Univ. Ser. B 22 (2007), no. 1, 37–47. crossref(new window)

6.
X. Li, Multiple positive solutions for some four-point boundary value problems with p-Laplacian, Appl. Math. Comput. 202 (2008), no. 1, 413–426. crossref(new window)

7.
Y. Li, Positive solutions of second-order boundary value problems with sign-changing nonlinear terms, J. Math. Anal. Appl. 282 (2003), no. 1, 232–240. crossref(new window)

8.
B. Liu, Positive solutions of three-point boundary value problems for the one-dimensional p-Laplacian with infinitely many singularities, Appl. Math. Lett. 17 (2004), no. 6, 655–661. crossref(new window)

9.
Y. Liu and W. Ge, Multiple positive solutions to a three-point boundary value problem with p-Laplacian, J. Math. Anal. Appl. 277 (2003), no. 1, 293–302. crossref(new window)

10.
H. Lu, D. O’Regan, and R. P. Agarwal, Positive solutions for singular p-Laplacian equations with sign changing nonlinearities using inequality theory, Appl. Math. Comput. 165 (2005), no. 3, 587–597. crossref(new window)

11.
D. Ma and W. Ge, Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order p-Laplacian BVP, Appl. Math. Lett. 20 (2007), no. 12, 1244– 1249. crossref(new window)

12.
D. Ma, J. Han, and X. Chen, Positive solution of three-point boundary value problem for the one-dimensional p-Laplacian with singularities, J. Math. Anal. Appl. 324 (2006), no. 1, 118–133. crossref(new window)

13.
H. Su, Z. Wei, and B. Wang, The existence of positive solutions for a nonlinear fourpoint singular boundary value problem with a p-Laplacian operator, Nonlinear Anal. 66 (2007), no. 10, 2204–2217. crossref(new window)

14.
B. Sun and W. Ge, Successive iteration and positive pseudo-symmetric solutions for a three-point second-order p-Laplacian boundary value problems, Appl. Math. Comput. 188 (2007), no. 2, 1772–1779. crossref(new window)