In this article, we consider the quasilinear elliptic equation with the Dirichlet boundary coditions, and under suitable growth condition on the nonlinear term f. Existence of solutions is given for all via the variational method and some analysis techniques.
Submitted February 13, 2014. Published June 27, 2014.
Math Subject Classifications: 35B33, 35J92, 35J35.
Key Words: p-Laplacian equation; subcritical growth; variational methods; (C) condition; mountain-pass lemma.
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| Yong-Yi Lan |
School of Sciences, Jimei University
Xiamen 361021, China
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