一類p-重調和橢圓方程非平凡解的存在性.pdf

1、華中師范大學碩士學位論文一類p重調和橢圓方程非平凡解的存在性姓名：王珂申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：鄧引斌20070605AbstractInthispaper，weconsidertheexistenceofnontrivialsolutionsforpharmonicproblem：J△(1△uIP一2△Ⅱ)mIuIp一2缸=，(z，u)，l亂∈W2p(兄Ⅳ)，z∈RⅣN2p，P1，wherem0，糕tendstoapo

2、sitiveconstantas讓_∞Inthiscase，f(x，札)doesnotsatis分thefollowingAmbrosettiRabinowitztypecondition，thatis，forsome90，andforall(z，s)∈RⅣxR，z∈Q，theinequality?！蹻(z，s)≤幣1他，s)sisnolongertrue，whereF(x，8)=偌，(z，t)dtItwasknown，thiscond

3、itionisveryimportantinapplyingMountainPassTheoremNow，byavariantversionofMountainPassTheorem，weprovethatthereexistsanontrivialsolutiontotheaboveproblemFurthermore，iff(z，釷)三，(讓)，theexistenceofagroundstatetothisproblemisals