| Title:
|
Symetrie: Ano či ne? (Czech) |
| Title:
|
Symmetry: Yes or no? (English) |
| Author:
|
Kawohl, Bernd |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
265-276 |
| . |
| Category:
|
math |
| . |
| MSC:
|
00A69 |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 1247.00043 |
| Note:
|
From The Mathematical Intelligencer 20 (1996), No. 2, 16–22, translated by O. John. (English) |
| Note:
|
Z The Mathematical Intelligencer 20 (1996), č. 2, 16–22, přeložil O. John. (Czech) |
| . |
| Date available:
|
2010-12-11T20:06:15Z |
| Last updated:
|
2015-11-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141187 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[4] Brock, F.: Continuous polarization and symmetry of solutions of variational problems with potentials.In: Calculus of Variations, Applications and Computations, Pont-à-Mousson 1994. Pitman Res. Notes in Math. 326 (1995), 25–35. Zbl 0840.49006, MR 1419331 |
| Reference:
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| Reference:
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| Reference:
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[7] Brock, F., Solynin, A.: An approach to symmetrization via polarization.Trans. Amer. Math. Soc. 352 (2000), 1759–1796. Zbl 0965.49001, MR 1695019, 10.1090/S0002-9947-99-02558-1 |
| Reference:
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[8] Buttazzo, G., Ferone, V., Kawohl, B.: Minimum problems over sets of concave functions and related questions.Mathematische Nachrichten 173 (1995), 71–89. Zbl 0835.49001, MR 1336954, 10.1002/mana.19951730106 |
| Reference:
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[9] Caffarelli, L., Garofalo, N., Segala, F.: A gradient bound for entire solutions of quasilinear equations and its consequences.Commun. Pure Appl. Math. 47 (1994), 1457–1473. MR 1296785, 10.1002/cpa.3160471103 |
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[10] Coffmann, C. V.: A nonlinear boundary value problem with many positive solutions.J. Differ. Equations 54 (1984), 429–437. 10.1016/0022-0396(84)90153-0 |
| Reference:
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[11] Esteban, M.: Nonsymmetric ground states of symmetric variational problems.Commun. Pure Appl. Math. 44 (1991), 259–274. Zbl 0826.49002, MR 1085830, 10.1002/cpa.3160440205 |
| Reference:
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[12] Gidas, B., Ni, W. M., Nirenberg, L.: Symmetry and related properties via the maximum principle.Comm. Math. Phys. 68 (1979), 209–243. Zbl 0425.35020, MR 0544879, 10.1007/BF01221125 |
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[14] Kawohl, B.: Rearrangements and Convexity of Level Sets in PDE.Springer Lecture Notes in Mathematics 1150 (1985). Zbl 0593.35002, MR 0810619 |
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[15] Kawohl, B., Sweers, G.: Remarks on eigenvalues and eigenfunctions of a special elliptic systems.J. Appl. Math. Phys. (ZAMP) 38 (1987), 730–740. MR 0917475, 10.1007/BF00948293 |
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| Reference:
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[17] Kawohl, B.: Instability criteria for solutions of second order elliptic quasilinear differential equations.In: Partial differential equations and applications. Eds. P. Marcellini, G. Talenti, E. Vesentini. Marcel Dekker, Lecture Notes in Pure and Applied Math. 177 (1996), 201–207. Zbl 0854.35012, MR 1371592 |
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[19] Kawohl, B.: The opaque square and the opaque circle.In: General Inequalities VII, Int. Ser. Numer. Math. 123 (1997), 339–346. Zbl 0907.68135, MR 1457290 |
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