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Three solutions for a class of quasilinear elliptic equation involving the p − q‐Laplace operator |
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| Authors: | Honghui Yin Jing Wen |
| Institution: | 1. School of Mathematical Sciences, Huaiyin Normal University, , Jiangsu Huaian 223001, China;2. School of Computer Science and Technology, Huaiyin Normal University, , Jiangsu Huaian 223001, China;3. College of Computer Science and Technology, Nanjing University of Aeronautics & Astronautics, , Jiangsu Nanjing 210016, China |
| Abstract: | The existence of at least three weak solutions is established for a class of quasilinear elliptic equation involving the p ? q‐Laplace operator with Dirichlet boundary condition. The technical approach is mainly on the basis of a three critical points theorem due to Ricceri. Copyright © 2013 John Wiley & Sons, Ltd. |
| Keywords: | p − q‐Laplacian Sobolev space three critical points theorem |