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POSITIVE SOLUTIONS AND BIFURCATION OF FULLY NONLINEAR ELLIPTIC EQUATIONS INVOLVING SUPER-CRITICAL SOBOLEV EXPONENTS
引用本文:屈长征,余庆余.POSITIVE SOLUTIONS AND BIFURCATION OF FULLY NONLINEAR ELLIPTIC EQUATIONS INVOLVING SUPER-CRITICAL SOBOLEV EXPONENTS[J].应用数学学报(英文版),1995,11(4):413-420.
作者姓名:屈长征  余庆余
作者单位:QU CHANGZHENG (Institute of Modern Physics,Northwest University,Xi'an 710069,China)YU QINGYU (Department of Mathematics,Lanzhou University,Lanzhou 730000,China)
摘    要:POSITIVESOLUTIONSANDBIFURCATIONOFFULLYNONLINEARELLIPTICEQUATIONSINVOLVINGSUPER-CRITICALSOBOLEVEXPONENTS¥QUCHANGZHENG(屈长征)(Ins...

收稿时间:28 April 1992

Positive solutions and bifurcation of fully nonlinear elliptic equations involving super-critical Sobolev exponents
Changzheng Qu,Qingyu Yu,Di Geng.Positive solutions and bifurcation of fully nonlinear elliptic equations involving super-critical Sobolev exponents[J].Acta Mathematicae Applicatae Sinica,1995,11(4):413-420.
Authors:Changzheng Qu  Qingyu Yu  Di Geng
Institution:(1) Institute of Modern Physics, Northwest University, 710069 Xi'an, China;(2) Department of Mathematics, Lanzhou University, 730000 Lanzhou, China
Abstract:This paper discuss the existence of bifurcation point of positive solutions for the fully nonlinear elliptic equations involving super-critical Soboley exponent which include semilinear, MongeAmpere and Hessian equations as its examples, by setting abstract bifurcation theorem via the topological degree theory.
Keywords:Positive solution  bifurcation  fully nonlinear elliptic equation
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