【摘要】 考虑特征值问题-Δpu=λV(x)|u|p-2u,u∈W01, p(Ω);其中p>1,Δpu是指的是p-Laplacian算子,λ>0,Ω是RN中的有界区域,证明了最小的正特征值在给定的区域的严格单调性,获得了几个重要性质.更多还原

【Abstract】 Consider the eigenvalue problem-Δpu=λV(x)|u|p-2u,u∈W01,p(Ω) where p>1,Δpu is p-Laplacian operator,λ>0,Ω is a bounded domain in RN.We prove the strict monotonicity of the least positive eigenvalue with respect to the domin,and obtain some important properties.更多还原