Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (4): 10-14.

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Positive Solutions of a Semilinear Elliptic Equation with Coefficient That Changes Sign

  

  1. 西北师范大学数学系西北师范大学数学系 甘肃兰州730070
  • Received:2001-01-12 Online:2002-12-30 Published:2024-04-30
  • About author:MA Ru-yun(1964-),male,native of Tianshui,Gansu,a professor of Northwestern Normal University,Ph.D.,engages in differential equation;YAO Qing-liu(1946-),male,native of Shanghai,a professor of Northwestern Normal University,M.S.D.,engages in nonlinear analysis;LI Bao-lin(1963-),male,native of Tianshui‚Gansu,an associate professor of Northwestern Normal University,Ph.D.,engages in real analysis.
  • Supported by:
    Supported by the National Natural Science Foundation of China(19801028);Suppored by the GG-110-
    10736-1003;Supported by the NWNU-KJCXGC-212

Abstract: 本文研究半线性椭圆方程Dirichlet问题-Δu =a(x) f(u) , x ∈Ω ,u(x) =0 ,x ∈ Ω ,正解的存在性 ,其中Ω为Rn 中有界的带光滑边界的区域 ,a(x)可以变号

Key words: 椭圆方程, 正解, Leray-Schauder不动点定理,

CLC Number: