Constant boundary value problem for a quasilinear elliptic system |
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| Authors: | Yaotian Shen Shusen Yan |
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| Affiliation: | (1) Department of Applied Mathematics, South China University of Technology, 510641 Guangzhou, P.R. China |
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| Abstract: | We study the constant boundary value problem for a class of quasilinear elliptic systems. The existence of a nonconstant solution is proved by discussing the minimization problem for the relaxed energy. As a by-product, we show that generally the Pohozaev identity does not hold for H1-weak solutions. |
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