Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions
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1989
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Authors
Fenglong Sun
- School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China.
Lishan Liu
- School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China.
- Department of Mathematics and Statistics, Curtin University, Perth, WA6845, Australia.
Yonghong Wu
- Department of Mathematics and Statistics, Curtin University, Perth, WA6845, Australia.
Abstract
We establish the criteria for the existence of infinitely many solutions for a class of one-dimensional p-Laplacian equations with Sturm-Liouville type nonhomogeneous boundary conditions. The nonlinear term has two parameters \(\lambda,\,\mu\) and is dependent on \(x\) and the derivative \(u'(x)\) of the solution to be determined. The main method used for the study is Ricceri's Variational Principle.
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ISRP Style
Fenglong Sun, Lishan Liu, Yonghong Wu, Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 6020--6034
AMA Style
Sun Fenglong, Liu Lishan, Wu Yonghong, Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions. J. Nonlinear Sci. Appl. (2017); 10(11):6020--6034
Chicago/Turabian Style
Sun, Fenglong, Liu, Lishan, Wu, Yonghong. "Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 6020--6034
Keywords
- Infinitely many solutions
- p-Laplacian equation
- nonhomogeneous boundary conditions
- variational method
MSC
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