一类p-laplacian椭圆型方程边值问题的解
, PP. 31-36
Keywords: p-laplacian方程,边界爆破,存在性
Abstract:
本文研究了一类p-laplacian椭圆型方程-δpu=a(x)h(u)-b(x)f(u)齐次边值问题和奇性边值问题解的存在性,其中δpu=div(|？u|p-2？u),p>1,h(u)/up-1在(0,+∞)非增,f(u)/up-1在(0,+∞)非减.
| [1] | bandlec，marcusm．‘large’solutionsofsemilinearellipticequations:existence，uniqueness，andasymptoticbehaviour[j]．janalmath，1992，58:9-24．[2]cano-casanovas，lópez-gómezj．existence，uniquenessandblow-uprateoflargesolutionsforacanonicalclassofone-dimensionalproblemsonthehalf-line[j]．jdifferentialequations，2008，244:3180-3203．
|
| [2] | chenyj，wangmx．uniquenessresultsandasymptoticbehaviorforlogistic-typeporousmediaequations[j]．zangewmathphys，2010，61:277-292．
|
| [3] | c�rsteafc，duyh．generaluniquenessresultsandvariationspeedforblow-upsolutionsofellipticequations[j]．proclondonmathsoc，2005，91(2):459-482．
|
| [4] | c�rsteafc，r�dulescuv．uniquenessoftheblow-upboundarysolutionoflogisticequationwithabsorption[j]．cracadsciparisseri，2002，335:447-452．
|
| [5] | c�rsteafc，r�dulescuv．boundaryblow-upinnonlinearellipticequationsofbieberach-rademachertype[j]．transamermathsoc，2007，359:3275-3286．
|
| [6] | c�rsteafc，r�dulescuv．nonlinearproblemswithboundaryblow-up:akaramataregularvariationtheoryapproach[j]．asymptotanal，2006，46:275-298．[8]delgadom，lópez-gómezj，su�reza．singularboundaryvalueproblemsofaporousmedialogisticequation[j]．hiroshimamathj，2004，34:57-80．
|
| [7] | duyh，guozm，zhouf．boundaryblow-upsolutionswithinteriorlayersandspikesinabistableproblem[j]．discretecontindynsyst，2007，19(2):271-298．[10]garcía-meli�nj．uniquenessforboundaryblow-upproblemswithcontinuousweights[j]．procamermathsoc，2007，135(9):2785-2793．
|
| [8] | guoz，webbjrl．structureofboundaryblow-upsolutionsofquasilinearellipticproblems．i:largeandsmallsolutions[j]．procroysocedinburghsecta，2005，135:615-642．
|
| [9] | lópez-gómezj．optimaluniquenesstheoremsandexactblow-upratesoflargesolutions[j]．jdifferentialequations，2006，224(2):385-439．
|
| [10] | ouyangt，xiez．theexactboundaryblow-uprateoflargesolutionsforsemilinearellipticproblems[j]．nonlinearanal，2008，68:2791-2800．
|
| [11] | zhangzj．boundarybehaviorofsolutionstosomesingularellipticboundaryvalueproblems[j]．nonlinearanaltma，2008，69:2293-2302．
|
| [12] | diazg，letelierr．explosivesolutionsofquasilinearellipticequations:existenceanduniqueness[j]．nonlinearanal，1993，20:97-125．
|
| [13] | materoj．quasilinearellipticeuqtionswithboundaryblow-up[j]．janalysemath，1996，69:229-246．
|
| [14] | mohammeda．boundarysaymptoticanduniquenessofsolutionstothep-laplacianwithinfiniteboundaryvalues[j]．jmathanalappl，2007，325:480-489．[18]duyh，guozm．boundaryblow-upsolutionsandtheirapplicationsinquasilinearellipticequations[j]．jd’analysemath，2003，89:277-302．
|
| [15] | garcía-meli�nj，sabinadelisj．maximumandcomparisonprinciplesforoperatorsinvolvingthep-laplacian[j]．jmathanalappl，1998，218:49-65．[20]ca�adaa，dr�bekp，g�mezjl．existenceofpositivesolutionsforsomeproblemswithnonlineardiffusion[j]．transamermathsoc，1997，349:4231-4249．
|
Full-Text
