Advances in Differential Equations and Control Processes
Volume 19, Issue 3, Pages 205 - 211
(August 2018) http://dx.doi.org/10.17654/DE019030205 |
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NONTRIVIAL SOLUTION FOR A SECOND-ORDER BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN AND PERTURBATION
Xi-Lan Liu, Nan-Nan Liu and Shan Wu
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Abstract: This paper concerns with the existence of nontrivial solutions for a second-order boundary value problem with a p-Laplacian and a perturbation. By mountain-pass theorem, some sufficient conditions for the existence of solutions for a second-order boundary value problem are obtained which show that a nontrivial solution is generated by the perturbation. |
Keywords and phrases: nontrivial solution, second-order, perturbation. |
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