East Asian mathematical journal

  • 제34권5호
  • /
  • Pages.703-713
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  • 2018
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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MULTIPLE EXISTENCE OF SOLUTIONS FOR A NONHOMOGENEOUS ELLPITIC PROBLEMS ON RN

  • Hirano, Norimichi (Department of Mathematics Faculty of Engineering Yokohama National University) ;
  • Kim, Wan Se (Department of Mathematics, Research Institute for Natural Sciences, Hanyang University)
  • 투고 : 2018.07.03
  • 심사 : 2018.07.18
  • 발행 : 2018.09.30
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초록

Let $N{\geq}3$, $2^*=2N/(N-2)$ and $p{\in}(2,2^*)$. Our purpose in this paper is to consider multiple existence of solutions of problem $$-{\Delta}u-{\frac{\mu}{{\mid}x{\mid}^2}}+{\alpha}u={\mid}u{\mid}^{p-2}u+{\lambda}f\;u{\in}H^1({\mathbb{R}}^n)$$, where a, ${\lambda}$ > 0, ${\mu}{\in}(0,(N-2)^2/4)f{\in}H^{-1}({\mathbb{R}}^N)$, $f{\geq}0$ and $f{\neq}0$.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea

참고문헌

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