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MULTIPLE SOLUTIONS OF NONHOMOGENEOUS CHOUQUARD'S EQUATIONS

MULTIPLE SOLUTIONS OF NONHOMOGENEOUS CHOUQUARD'S EQUATIONS
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摘要 In this paper, we consider the existence of solutions for the following equation: where g(x)≥0, g(x)0, and g(x)∈H-1(R3). We prove that there exists a constant C, if ||g(x)||H-1 ≤C, there are at least two solutions of the equation. In this paper, we consider the existence of solutions for the following equation: where g(x)≥0, g(x)0, and g(x)∈H-1(R3). We prove that there exists a constant C, if ||g(x)||H-1 ≤C, there are at least two solutions of the equation.
作者 张正杰
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第1期47-52,共6页 应用数学学报(英文版)
基金 This research is supported by the National Natural Science Foundation of China.
关键词 Multiple Solutions EXISTENCE Choquard's Equation Multiple Solutions, Existence, Choquard's Equation
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参考文献3

  • 1张正杰.MULTIPLE SOLUTIONS OF NONHOMOGENEOUS FOR RELATED CHOQUARD'S EQUATION[J].Acta Mathematica Scientia,2000,20(3):374-379. 被引量:3
  • 2Dao-Min Cao,Huan-Song Zhou.On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents[J].ZAMP Zeitschrift für angewandte Mathematik und Physik.1996(1)
  • 3P. L. Lions.Solutions of Hartree-Fock equations for Coulomb systems[J].Communications in Mathematical Physics.1987(1)

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