대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제10권1호
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- Pages.133-135
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
RADIAL SYMMETRY AND SPHERICAL NODAL SET OF SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
- Seok, Yong-Jing (Department of Mathematics Education, Kangwon National University)
- 발행 : 1995.01.01
초록
In this note, we will investigate the radial symmetry of some kind of solutions of nonlinear ellipitic equations $$ \Delta U = f(U) $$ $$ (1.1) U = 0 in B $$ $$ U \in C^2 (\bar{B}) on \partial B$$ Here f is $C^1$ and B denotes a n-dimensional unit ball in $R^n$.