Remarks on a nonlocal problem involving the Dirichlet energy

M. Chipot; V. Valente; G. Vergara Caffarelli

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 110, page 199-220
  • ISSN: 0041-8994

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Chipot, M., Valente, V., and Vergara Caffarelli, G.. "Remarks on a nonlocal problem involving the Dirichlet energy." Rendiconti del Seminario Matematico della Università di Padova 110 (2003): 199-220. <http://eudml.org/doc/108615>.

@article{Chipot2003,
author = {Chipot, M., Valente, V., Vergara Caffarelli, G.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {nonlocal parabolic problem; Dirichlet integral; existence; uniqueness; stationary problem; asymptotic behaviour},
language = {eng},
pages = {199-220},
publisher = {Seminario Matematico of the University of Padua},
title = {Remarks on a nonlocal problem involving the Dirichlet energy},
url = {http://eudml.org/doc/108615},
volume = {110},
year = {2003},
}

TY - JOUR
AU - Chipot, M.
AU - Valente, V.
AU - Vergara Caffarelli, G.
TI - Remarks on a nonlocal problem involving the Dirichlet energy
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 110
SP - 199
EP - 220
LA - eng
KW - nonlocal parabolic problem; Dirichlet integral; existence; uniqueness; stationary problem; asymptotic behaviour
UR - http://eudml.org/doc/108615
ER -

References

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  2. [2] N.-H. CHANG - M. CHIPOT, On some mixed boundary value problems with nonlocal diffusion. (To appear in Adv. in Math. Sci. and Appl.). Zbl1064.35083MR2083613
  3. [3] N.-H. CHANG - M. CHIPOT, On some model diffusion problems with a nonlocal lower order term. (To appear in the Chinese Ann. of Math.). Zbl1039.35056MR1982061
  4. [4] N.-H. CHANG - M. CHIPOT, Nonlinear nonlocal evolution problems. (To appear in RACSAM). Zbl1067.35035MR2126241
  5. [5] M. CHIPOT, Elements of Nonlinear Analysis, Birkhäuser Advanced Text (2000). Zbl0964.35002MR1801735
  6. [6] M. CHIPOT - B. LOVAT, Existence and uniqueness results for a class of nonlocal elliptic and parabolic problems, DCDIS, Series A, 8 (2001), J 1, pp. 35-51. Zbl0984.35066MR1820664
  7. [7] M. CHIPOT - B. LOVAT, On the asymptotic behaviour of some nonlocal problems, Positivity, 3 (1999), pp. 65-81. Zbl0921.35071MR1675465
  8. [8] M. CHIPOT, L. MOLINET: Asymptotic behavior of some nonlocal diffusion problems. Applicable Analysis, 80 (2001) p. 273-315. Zbl1023.35016MR1914683
  9. [9] M. CHIPOT - J. F. RODRIGUES, On a class of nonlocal nonlinear elliptic problems, Math. Mod. and Num. Anal., 26 (1992), pp. 447-468. Zbl0765.35021MR1160135
  10. [10] M. CHIPOT - M. SIEGWART, On the asymptotic behaviour of some nonlocal mixed boundary value problems. To appear. Zbl1052.35100MR2060227
  11. [11] R. DAUTRAY - J. L. LIONS, Mathematical analysis and numerical methods for science and technology, Springer Verlag (1990). Zbl0683.35001
  12. [12] D. GILBARG - N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Springer Verlag, New York (1983). Zbl0562.35001MR737190
  13. [13] A. HARAUX, Systèmes Dynamiques Dissipatifs et Applications, Masson Paris (1991). Zbl0726.58001MR1084372
  14. [14] D. KINDERLEHRER - G. STAMPACCHIA, An introduction to variational inequalities and their applications, Acad. Press (1980). Zbl0457.35001MR567696
  15. [15] J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod Gauthiers-Villards, Paris (1969). Zbl0189.40603MR259693
  16. [16] M. SIEGWART, Thesis, University of Zürich (to appear). 

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