Strong oscillation of elliptic systems of second order partial differential equations

Samuel M. Rankin

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 59, Issue: 6, page 595-602
  • ISSN: 0392-7881

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Rankin, Samuel M.. "Strong oscillation of elliptic systems of second order partial differential equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.6 (1975): 595-602. <http://eudml.org/doc/290841>.

@article{Rankin1975,
author = {Rankin, Samuel M.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {595-602},
publisher = {Accademia Nazionale dei Lincei},
title = {Strong oscillation of elliptic systems of second order partial differential equations},
url = {http://eudml.org/doc/290841},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Rankin, Samuel M.
TI - Strong oscillation of elliptic systems of second order partial differential equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/12//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 6
SP - 595
EP - 602
LA - eng
UR - http://eudml.org/doc/290841
ER -

References

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  1. CLARK, C. and SWANSON, C. A. (1965) - Comparison theorems for elliptic differential equations, «Proceedings of American Mathematical Society», 16, 886-890. Zbl0134.09001MR180753DOI10.2307/2035576
  2. COURANT, R. and HILBERT, D. (1937) - Methods of Mathematical Physic, Interscience Publishers, New York. MR65391
  3. HEADLEY, V. B. (1970) - Some oscillation properties of self-adjoint elliptic equations, «Proc. Amer. Math. Society», 21, 824-829. Zbl0197.37201MR259323DOI10.2307/2036759
  4. HEADLY, V. B. and SWANSON, C. A. (1968) - Oscillation criteria for elliptic equations, «Pacific Journal of Mathematics », 27 (3), 501-506. Zbl0165.44304MR236502
  5. KREITH, KURT (1963) - A new proof of a comparison theorem for elliptic equations, «Proc. Amer. Math. Soc.», 14, 33-35. MR149067DOI10.2307/2033950
  6. KREITH, KURT (1968) - A strong comparison theorem for self-adjoint elliptic equations, «Proc. Amer. Math. Soc.», 19, 989-990. Zbl0159.39802MR227594DOI10.2307/2035356
  7. KREITH, KURT (1969) - A Sturm theorem for strongly elliptic systems and applications, «Bulletin of the Amer. Math. Soc.», 75, 1025-1027. Zbl0179.43104MR249824DOI10.1090/S0002-9904-1969-12346-3
  8. KREITH, K. and TRAVIS, C. C. (1971) - On a comparison theorem for strongly elliptic systems, «Journal of Differential Equations», 10, 173-178. Zbl0214.35904MR294842DOI10.1016/0022-0396(71)90104-5
  9. KREITH, K. and TRAVIS, C. (1972) - Oscillation criteria for self-adjoint elliptic equations, «Pacific Journal of Mathematics», 41, 743-753. Zbl0239.35003MR318642
  10. RANKIN, S. (1974) - Oscillation theory for second order elliptic partial differential equations, Ph. D. thesis, Vanderbilt University, December, 1974. MR2624996
  11. SWANSON, C. A. (1970) - Comparison theorems for elliptic differential systems, «Pacific Journal of Math.», 33, 445-450. Zbl0177.14703MR262650
  12. SWANSON, C. A. (1973) - Strong oscillation of elliptic equations in general domains, «Canadian Mathematical Bulletin», 16, 105-110. Zbl0253.35026MR333415DOI10.4153/CMB-1973-020-0
  13. [13J TRAVIS, C. (1973) - A remark on integral oscillation criteria for self-adjoint elleptic equations, «Accademia Nazionale dei Lincei», 54, 829-831. MR361397
  14. TRAVIS, C. - Oscillation criteria of elliptic systems (to appear). 

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