대한수학회지 (Journal of the Korean Mathematical Society)

  • 제50권2호
  • /
  • Pages.411-423
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  • 2013
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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ELLIPTIC EQUATIONS WITH COMPACTLY SUPPORTED SOLUTIONS

  • 투고 : 2012.05.27
  • 발행 : 2013.03.01
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초록

For any $p{\in}(1,2)$ and arbitrary $f{\in}L^p(\mathbb{R}^2)$ with compact support, it is proved that there exists a pair (L, $u$), with L second order uniformly elliptic operator and $u{\in}W_0^{2,p}(\mathbb{R}^2)$ such that $Lu=f$ a.e. in $\mathbb{R}^2$.

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참고문헌

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