TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS  

作　　者：Khalid BOUABID Rachid ECHARGHAOUI Mohssine EL MANSOUR 

机构地区：[1]Department of Mathematics,Faculty of Sciences,Ibn Tofail University,Kenitra,B.P.133,Morocco

出　　处：《Acta Mathematica Scientia》2023年第5期2061-2074,共14页数学物理学报（B辑英文版）

摘　　要：In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with 0∈?Ωand all the principle curvatures of?Ωat 0 are negative,a∈C1(Ω,R*+),μ>0,0<s<2,1<q<2 and N>2(q+1)/(q-1).By2*:=2N/(N-2)and 2*(s):(2(N-s))/(N-2)we denote the critical Sobolev exponent and Hardy-Sobolev exponent,respectively.

关 键 词：Laplacien critical Sobolev-Hardy exponent critical Sobolev exponent infinitely many solutions Pohozaev identity 

分 类 号：O175.25[理学—数学]