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논문 기본 정보
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- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.10 No.1
- 발행연도
- 2006.6
- 수록면
- 55 - 61 (7page)
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초록· 키워드
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We prove a Liouville theorem of a semilinear elliptic equation: △ｕ+f(x<SUB>n</SUB>, u)=0 defined in half space with zero boundary data, here n＞2, f satisfies suitable conditions. In fact we show that if u is a nonnegative classical solution, then u becomes identically zero. The result was proved by using the moving plane method and by investigating an ordinary differential equation.
목차
ABSTRACT
1. INTRODUCTION AND MAIN RESULTS
2. PRELIMINARY RESULTS
3. PROOF OF NONLINEAR LIOUVILLE THEOREM 1.1
References
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UCI(KEPA) : I410-ECN-0101-2009-410-014781672