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Asymptotic behavior of the solutions of the p-Laplacian equation 被引量：2

Asymptotic behavior of the solutions of the p-Laplacian equation
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摘要 The asymptotic behavior of the solutions for p-Laplacian equations as p →∞ is studied. The asymptotic behavior of the solutions for p-Laplacian equations as p→∞ is studied.
作者 ZHANG Liqin ZHAO Junning
机构地区 Department of Mathematics
出处 《Science China Mathematics》 SCIE 2006年第6期740-751,共12页 中国科学：数学（英文版）
基金 supported by the National Natural Science Foundation of China(Grant No.10131050) the Program of 985 Innovation Engineering on Information in Xiamen University.
关键词 P-LAPLACIAN equations CAUCHY and DIRICHLET problem ASYMPTOTIC behavior. p-Laplacian equations, Cauchy and Dirichlet problem, asymptotic behavior.
分类号 N [自然科学总论]
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参考文献8

  • 1[1]Caffarelli L A,Friedman A.Asymptotic behavior of solutions of ut = △um as m →∞.Indiana Univ Math J,1987,36:711-728
  • 2[2]Sacks P.A singular limit problem for the porous medium equation.J Math Anal Appl,1989,140(2):456-466
  • 3[3]Sacks P.Limiting behavior of solutions of ut = △um as m →∞.Rocky Mountain J Math,1991,21:779-786
  • 4[4]Elliott C M,Herrero M,Ockendon J R.The mesa problem:diffusion patterns for ut = ▽.(um▽u) as m →∞.IMA J Appl Math,1986,37:147-154
  • 5[5]Evans L C,Feldman M,Gariepy R F.Fast/slow diffusion and collapsing sandpiles.J Differential Equations,1997,137:166-209
  • 6[6]Yi Q,Zhao J N.Singular limit of solutions of the p-Laplacian equation.Nonlinear Analysis,2001,43:733-741.
  • 7[7]Wu Z Q,Zhao J N,Yin J X,et al.Nonlinear Diffusion Equations.Singapore:World Scientific Publishing Co.Pte Ltd,2001
  • 8[8]Ladyzenskaja O A,Solonikov V A,Uraltseva N N.Linear and Quasilinear Equations of Parabolic Type.Providence:Amer Math Soc,1986

同被引文献9

  • 1[1]CAFFARELLI L A,FRIEDMAN A.Asymptotic behavior of solutions of ut=Δum as m→∞[J].Indiana Univ.Math.J.,1987,36:711-728.
  • 2[2]SACKS P.A singular limit problem for the porous medium equation[J].J.Math.Anal.Appl.,1989,140(2):456-466.
  • 3[3]SACKS P.Limiting behavior of solutions of ut=Δum as m→∞[J].Rocky Mountain J.Math.,1991,21:779-786.
  • 4[4]ELLIOTT C M,Herrero M,Ockendon J R.The mesa problem:diffusion patterns for ut=▽·(um▽u) as m→∞[J].IMA J.Appl.Math.,1986,37:147-154.
  • 5[5]EVANS L C,Feldman M,Gariepy R F.Fast/Slow diffusion and collapsing sandpiles[J].J.Differential Equations,1997,137:166-209.
  • 6[6]YI Qing,ZHAO Junning.Singular limit of solutions of the p-Laplacian equation[J].Nonlinear Analysis,2001,43:733-741.
  • 7[7]WU Zhouqun,ZHAO Junning,YIN Jingxue,LI Huilai.Nonlinear Diffusion Equations[M].Singapore:World Scientific Publishing Co.Pte.Ltd.,2001.
  • 8张丽琴.带吸收项的P-Laplace方程解的渐近性质[J].厦门理工学院学报,2007,15(3):41-45. 被引量：1
  • 9宋丽.一类非线性双重退缩抛物方程的Cauchy问题当p→∞时解的极限[J].厦门大学学报（自然科学版）,2004,43(3):298-301. 被引量：1

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二级引证文献1

Science China Mathematics
2006年 第6期

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