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一类拟线性椭圆型方程正奇异解的能量估计

, PP. 21-24

Keywords: 存在性,正奇异解,拟线性椭圆型方程,能量估计

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Abstract:

本文给出了如下问题div(|u|p-2u)+λf(u)=0,x∈ωu|ω=0,奇异解的能量估计,其中p≥2,ω=b1是单位球,λ>0是一个参数.进一步得到了uλ是上述问题的正则正解序列且当λ→λ0∈(0,∞)时逐点收敛于奇异解u,则在lq+1(b1)和h01(b1)中,当λ→λ0时uλ收敛于u.

References

[1]  linss.positivesingularsolutionforsemilinearellipticequationswithsupercriticalgrowth[j].jdiffeqns,1994,114(1):57-76.
[2]  gueddam,veronl.localandglobalpropertiesofsolutionsofquasilinearellipticequations[j].jdiffeqns,1988,76(1):159-189.
[3]  杨作东.一类拟线性椭圆型方程正奇异解的存在性[j].数学物理学报,2005,25a(4):445-450.
[4]  yangzuodong.existenceofpositiveboundedentiresolutionsofquasilinearellipticequations[j].appliedmathandcomputation,2004,156(3):743-754.
[5]  yangzuodong,guozongming.existenceofpositiveradialsolutionsandentiresolutionsforquasilinearsingularboundaryvalueproblems[j].annofdiffeqns,1996,12(2):243-251.
[6]  guozongming.someexistenceandmultiplicityresultsforaclassofquasilinearellipticequations[j].nonlinearanal,1992,18(10):957-971.
[7]  guozongming,webbjrl.uniquenessofpositivesolutionsforquasilinearellipticequationswhenaparameterislarge[j].procroysocedinburgh,1994,124a(1):189-198.
[8]  garciahuidobrom,manasevich,yarurcs.onpositivesingularsolutionsforaclassofnonhomogeneousplalacianlikeequations[j].jdiffeqns,1998,145(1):23-51.
[9]  qijiangang,zhuangwan.existenceofsingularpositivesolutionsofsemilinearellipticequations[j].actamathapplicatesinica,1998,14(1):109-112.
[10]  niwm,serrinj.nonexistencetheoremsforsingularsolutionsofquasilinearpartialdifferentialequations[j].commpureapplmath,1986,39:379-399.
[11]  gallouett,mignotf,pueljp.quelquesresultassurleprobleme(u=λeu[j].cracadsciparisserimath,1988,307:282-292.

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