Publication Cover
Applicable Analysis
An International Journal
Volume 40, 1991 - Issue 4
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Original Articles

Characterizing spheres by functional relations on solutions of elliptic and parabolic equations

Pages 251-261 | Received 17 May 1989, Published online: 02 May 2007

References

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  • Klamkin , M.S. 1964 . A physical characterization of a sphere Problem 64-5 . SIAM Rev , 6
  • Morrey , C.B. 1966 . Multiple Integrals in the Calculus of Variations , New York : Springer-Verlag .
  • Muller , C. 1954 . On the behavior of the solutions of the differential equations ▵U=F(x,U ) in the neighborhood of a point . Comm. Pure Appl. Math , 7 : 505 – 515 .
  • Serrin , J. 1971 . A symmetry problem in potential theory . Arch. Rat. Mech. Anal , 43 : 304 – 318 .
  • Zalcman , L. 1987 . Some inverse problems of potential theory . Contemporary Mathematics , 63 : 337 – 350 .
  • Yosida , K. 1980 . Functional Analysis , Berlin : Springer-Verlag .

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