【摘要】 深入研究了非线性偏微分方程边值问题,给出了一类含非线性算子偏微分方程解的全局存在性和在有限时间内发生爆破的条件.更多还原

【Abstract】 In this paper we deal with a p-laplacian equation ut-Δpu=∫Ωuqdx-aur with null Dirichlet boundary conditions in a bounded domain ΩRN,where p>2,q,r≥1,a>0.We establish local theory of the solution and obtain that under certain conditions of q,r,Ω,a the solution of equations exists globally or blows up in finite time.更多还原