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 Khalid BOUABID;Rachid ECHARGHAOUI;Mohssine EL MANSOUR

作者机构：Department of MathematicsFaculty of SciencesIbn Tofail UniversityKenitraB.P.133Morocco 

出 版 物：《数学物理学报:B辑英文版》 (Acta Mathematica Scientia)

年 卷 期：2023年第43卷第5期

页      面：2061-2074页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Laplacien critical Sobolev-Hardy exponent critical Sobolev exponent infinitely many solutions Pohozaev identity 

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*+),μ0,02(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.