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A symmetrization result for elliptic equations with lower-order terms

Guido Trombetti; Juan Luis Vazquez

Annales de la Faculté des sciences de Toulouse : Mathématiques (1985)

  • Volume: 7, Issue: 2, page 137-150
  • ISSN: 0240-2963

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Trombetti, Guido, and Vazquez, Juan Luis. "A symmetrization result for elliptic equations with lower-order terms." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.2 (1985): 137-150. <http://eudml.org/doc/73173>.

@article{Trombetti1985,
author = {Trombetti, Guido, Vazquez, Juan Luis},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {bounded domain; weak solution; symmetric; rearrangement},
language = {eng},
number = {2},
pages = {137-150},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A symmetrization result for elliptic equations with lower-order terms},
url = {http://eudml.org/doc/73173},
volume = {7},
year = {1985},
}

TY - JOUR
AU - Trombetti, Guido
AU - Vazquez, Juan Luis
TI - A symmetrization result for elliptic equations with lower-order terms
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1985
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 2
SP - 137
EP - 150
LA - eng
KW - bounded domain; weak solution; symmetric; rearrangement
UR - http://eudml.org/doc/73173
ER -

References

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  2. [2] A. Alvino - G. Trombetti. «Equazioni ellitiche con termini di ordine inferiore e riordinamenti». Rend. Acc. Naz. Lincei (8) 66 (1979), 1-7. Zbl0455.35052MR606083
  3. [3] A. Alvino - G. Trombetti. «Sulle migliori costanti di maggiorazione per una classe di equazioni ellittiche degeneri e non». Ric. di Mat.30 (1981), 15-33. Zbl0489.35013MR657553
  4. [4] C. Bandle. «Bounds for the solutions of boundary-value problems». J. Math. Anal. Appl.54 (1976), 706-716. Zbl0327.35007MR412572
  5. [5] C. Bandle. «Estimates for the Green's functions of elliptic operators». SIAM J. Math. Anal.9 (1978), 1126-1136. Zbl0401.35005MR512516
  6. [6] C. Bandle. «Isoperimetric inequalities and applications». Pitman, London, (1980). Zbl0436.35063MR572958
  7. [7] G. Chiti. «Norme di Orlicz delle soluzioni di una classe di equazioni ellittiche». B.U.M.I. (5) (1979), 178-185. Zbl0398.35028MR530146
  8. [8] G. Chiti. «Una maggiorazione a priori dal punto di vista variazionale». Ann. Mat. Pura Appl., 109 (1976). Zbl0346.49025MR430186
  9. [9] D. Gilbarg - N.S. Trudinger. «Elliptic partial differential equations of second order». Springer-Verlag, Berlin, (1977). Zbl0361.35003MR473443
  10. [10] P.L. Lions. «Quelques remarques sur la symétrisation de Schwartz». Nonlinear partial differential equations and their applications, Collège de France, Seminar, vol. 1, Pitman, London, 1980, pp. 308-319. Zbl0467.35008MR631400
  11. [11] C. Maderna - S. Salsa. «Symmetrization in Neumann problems». Applic. Analysis, 9 (1979). Zbl0422.35027MR553957
  12. [12] M.K.V. Murthy - C. Stampacchia. «Boundary value problems for some degenerate elliptic operators». Ann. Mat. Pura Appl.80 (1968). Zbl0185.19201MR249828
  13. [13] G. Talenti. «Elliptic equations and rearrangements». Ann. Scuola Norm. Sup. Pisa (4) 3 (1976), 697-718. Zbl0341.35031MR601601
  14. [14] G. Talenti. «Linear elliptic p.d.e.'s, level sets, rearrangements». To appear in B.U.M.I. Zbl0602.35025MR831299
  15. [15] N. Trudinger. «Linear elliptic operators with measurable coefficients». Ann. Scuola Norm. Sup. Pisa (3), 27 (1973). Zbl0279.35025MR369884
  16. [16] J.L. Vazquez. «Symétrisation pour ut = Δφ(u) et applications». Comptes Rendus Acad. Sci.Paris, série I, 295 (1982) 71-74. Zbl0501.35015MR676365
  17. [17] H. Weinberger. «Symmetrization in uniformly elliptic problems». Studies in Math. Anal, Stanford Univ. Press, 1962, pp. 424-428. Zbl0123.07202MR145191

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