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POSITIVE SOLUTIONS AND BIFURCATION OF FULLY NONLINEAR ELLIPTIC EQUATIONS INVOLVING SUPER-CRITICAL SOBOLEV EXPONENTS

POSITIVE SOLUTIONS AND BIFURCATION OF FULLY NONLINEAR ELLIPTIC EQUATIONS INVOLVING SUPER-CRITICAL SOBOLEV EXPONENTS
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摘要 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. 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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1995年第4期413-420,共8页 应用数学学报(英文版)
关键词 Positive solution BIFURCATION fully nonlinear elliptic equation Positive solution, bifurcation, fully nonlinear elliptic equation
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