【摘 要】
：
The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems｛-△pu + ｜u｜p-2 u ∈ (a)1F(u, v), in RN, -△pv + ｜v｜P-2v ∈ (a
【机 构】
：
Department of Mathematics
【基金项目】
：
国家自然科学基金;the Zhejiang Provincial Natural Science Foundation of China;the Zhejiang Innovation Project
论文部分内容阅读
The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems｛-△pu + ｜u｜p-2 u ∈ (a)1F(u, v), in RN, -△pv + ｜v｜P-2v ∈ (a)2F(u,v), in RN,where N ≥ 2, 2 ≤ p ≤ N and F: R2 → R is a locally Lipschitz function. Under some growth conditions on F, and by Mountain Pass Theorem and the principle of symmetric criticality, the existence of such solutions is guaranteed.
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