Chipot M., Quittner P. — Stationary Partial Differential Equations, Vol. 1 :: Электронная библиотека попечительского совета мехмата МГУ

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Chipot M., Quittner P. — Stationary Partial Differential Equations, Vol. 1

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Название: Stationary Partial Differential Equations, Vol. 1

Авторы: Chipot M., Quittner P.

Аннотация:

The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can be read independently and are of great pedagogical value. The advanced researcher will find along the book the most recent achievements in various fields.

• Independent chapters
• Most recent advances in each fields
• Hight didactic quality
• Self contained
• Excellence of the contributors
• Wide range of topics

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 736

Добавлена в каталог: 07.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Ghergu, M.      50 69
Ghoussoub, N.      212 213 230 230 293 294
Giaquinta, M.      247 272 292 293 294 294
Gidas, B.      26 45 69 69 159 173 174 176 204–206 208 211 229 230 230 499 503 588 590 679 710 710
Gierer, A.      164 230
Gilbarg, D.      76 78 114 123 125 126 133 139 150 155 155 247 274 294 308 346 359 369 382 393 418 419 428 488 507–510 575 590 595 609 646 710
Gilbarg, G.      17 19 20 22 31 69
Ginzburg — Landau energy      301 315 338 358
Ginzburg — Landau equations      493
Ginzburg — Landau model      493 494
Ginzburg — Landau potential      301–303
Girg, P.      391 409 410 433 442 446 451 456 458 480 483 485–487 488 488 488
Giusti, E.      303 304 316 382
Global minimizer      239 254 259 390 391 403–406 437 464–466 468 469
Gmira, A.      597 617 681 692 694 695 710
Gossez, J.-P.      32 69 391 406 407 409 414 487 488 488
Gray, P.      188 230
Green function      579 608
Green kernel      675
Green potential      622
Green potential of $\lambda$       609
Green representation formula      499 527 560 572 581 608
Green — Gauss Theorem      511
Grillot, M.      706 710
Grossi, M.      170 172 207 230 230
Grun-Rehomme, M.      628 710
Gui, C.      161 170 172 177 189 211–213 230 230 230 230 230 230 230 230
Guo, Z.      708 710
Gutierrez, C.E.      278 294
Hale, J.K.      51 68 193 197 230 230
Hamel, G.      106 139 155
Hamilton — Jacobi theory      292
Hamiltonian system      292
Han, J.      493 590
Han, W.      289 293
Han, Z.C.      494 590
Harmonic map      337 338
Harnack-type inequality      498 548
Harnack’s inequality      498 506 507 526 530 544
Hastings, S.      493 589
Heat equation      288
Hedberg, L.I.      627 628 672 700 709
Heinz, E.      16 69
Helein, F.      163 229 300–302 321 323–325 327 336–338 343 354 355 382 382 499 588
Henrard, M.      32 69 475 478 487
Hernandez, J.      390 403 409 488 488 488
Hess, P.      29 31 33 67 69 69 69 69 477 487 488
Hestenes, H.R.      242 292 294
Hilbert, D.      242 243 294
Hildebrandt, S.      292 293 294
Hofer, H.      11 69
Holland, C.J.      162 192 229
Holmes, P.J.      293 [10]
Holubova, G.      409 410 433 437 438 440 441 469 478 480 488
Homogeneous Sobolev space      80
Hong, C.W.      510 590
Hopf “cut-off” function      151
Horstmann, D.      186 230
Huang, Y.-X.      402 406 487
Hutchinson, G.E.      182 230
Huy, C.U.      219 231
Idogawa, T.      402 488
Imanuvilov, O.      493 500 588 588 588
Improved Poincare inequality      427 428 432 433 436
Inequalities of John–Nirenberg      505
inf + sup estimate      498 537 559 570
inf + sup inequality      498 530 543
Invading domains      116
Ioffe, A.D.      293 294
Iscoe, I.      711 [51]
Ishige, K.      315 382
Ishihara, K.      219 231
Isoperimetrical inequality      543
Jaffe, A.      493 590
Jager, W.      58 69
James, R.D.      293 [10] 293 293
Jang, J.      188 212 231 231
Jeanjean, L.      583 590
Jensen’s Inequality      256 258 505 524 580
Jerrard, R.      338 383 383
Jimbo, S.      193 231
John, A.O.      392 422 453 489
Joint convexity      255
Joseph, D.D.      38 69
Jost, J.      493 494 499 500 510 586 589 589 589 589 590 590
Jothiram, B.      81 154
Judd, S.L.      188 231
Kabeya, Y.      231 [KN]
Kalton, N.J.      597 673 675 677 711
Kaper, T.J.      189 230
Kato, T.      31 69 104 155 413 417 488
Kawasaki, K.      182 233
Kazdan, J.      493 494 586 590 590 590
Keller, E.F.      186 231 493 590
Keller, H.B.      32 69
Keller, J.B.      47 69 638 711
Kennington, A.      213 231
Khavin, V.P.      672 711
Kiessling, M.      493 494 500 586 588 588 589 590 590
Kim, N.      493 588 588
Kinderlehrer, D.      261 283 289 294 294 294 294
Kirchheim, B.      263 287 293 294
Knobloch, E.      188 229
Kondratiev, V.      711 [55]
Korevaar, N.      213 214 231 231 500 586 590
Korn’s inequality      269
Krasnosel’skii, M.A.      14–16 51 57 58 69
Krein — Rutman theorem      15 23 37 55 56 64
Krejci, P.      488 [25]
Kristensen, J.      287 293
Krylov, N.V.      609 711
Kucera, M.      391 488
Kufner, A.      392 422 423 453 488 489
Kuznetsov, S.E.      683 696 705 706 710 710 710 710 710 711 711
L-harmonic      611
Labutin, D.      711 [59]
Lack of existence      242
Lack of minimizer      244
Laetsch, Th.      49 69
Lanconelli, E.      215 230
Landesman, E.      65 66 69
Landkof, N.S.      613 711
Laplace equation      289
Laplace operator      500 501
Laplace — Beltrami      693 697
Laplace — Beltrami operator      494 575
Laplacian      239
Lassoued, L.      339 383
Lavrentiev phenomenon      247
Lazer, A.C.      45 46 65–67 69 69 69
Le Gall, J.F.      597 598 683 696 700 706 710 711 711 711 711 711
Ledyaev, Y.S.      294 [20]
Lee, K.J.      188 231
Legendre transformation      292
Legendre — Hadamard condition      271
Legendre — Jacobi theory      292
Lengyel, I.      187 231 231
Leray method      115
Leray — Schauder alternative      13
Leray — Schauder degree      499 586
Leray, J.      3 5 22 69 74 75 78 114–116 155 155
Levinson, N.      199 230
Lewis, J.      213 214 231
Li, C.      34 68 211 229 493 496 503 582 589 589 589
Li, J.      493 494 499 510 586 589 589 589 589
Li, Y.      219 221 231 231 231
Li, Y.Y.      208 231 493 494 498 499 515 527 530 533 538 539 543 577 588 590 590 590
Li, Yi      160 209 211 215 217 231 231
Licois, J.R.      710 [41]
Lieb, E.      213 229

Lieberman, G.      395 443 470 489
Lift      111
Lin, C.-S.      165 177 194 207 208 231 231 231 231 493 494 498–500 515 530 559 570 586 587 588 589 589 589 589 590
Lin, F.H.      163 231 231 338 383 500 590
Lindqvist, P.      391 401 489
Line singularities      358
Linear elasticity      240 268
Linear second-order differential operators in divergence form      598
Lions, J.L.      613 676 710
Lions, P.-L.      33 69 493 586 588 588 597 679 709 711
Liouville equation      496 501 543
Liouville formula      503 543 552
Liouville, J.      493 501 590
Liouville-type equation      493 500 502 505 512
Liu, J.Q.      494 588
Lizorkin, P.I.      97 155
Local minima      239
Loewner, C.      597 711
Lou, Y.      182–185 231 232 232
Lower semicontinuity      252
Lucia, M.      493 500 586 588 590
Lundgren, T.S.      38 69
Luskin, M.      294 [45]
Lyapunov — Schmidt reduction      56 57
Ma, L.      499 590
Maginu, K.      194 232
Making variations      292
Malchiodi, A.      48 69 173–176 228 228 228 232 232 232 232 500 586 587
Malek, J.      287 294
Manasevich, R.F.      390–392 403 409 422 433 451 480 487 488 489 489 489
Mancini, G.      32 68
Marcellini, P.      271 294
Marchioro, C.      493 586 588 588
Marcinkiewicz spaces      615 616
Marcus, M.      598 610 683 690 696 697 700 704–707 709 709 711 711 711 711 711 711 711 711
Martin, R.S.      613 711
Matano, H.      162 189 190 192–194 232 232 642 643 645 694 710
Maximum principle      18 19 23 24 29–31 50 56 57 61 123 125 320 325 374 505 534
Mazzeo, R.      500 586 590 590 590
Maz’ya, V.G.      672 711 711
McCormick, W.D.      188 231
McKenna, P.J.      45 46 67 69 69 219 230 231
McLeod, J.      493 589
McShane, E.J.      242 245 295
Mean field equations      574
Mean value theorem      508
Meinhardt, H.      164 230
Merle, F.      330 382 493 497 505 512 513 515 524 588
Minimal solution      28 48 49
Minimal solution $\underline{u}$       24
Minimal surface      240 277
Minimizer      238
Miranda, C.      17 69 609 711
Mironescu, P.      338 339 382 382 383 383 383
Mizel, V.J.      247 293 294
Modica, L.      299 300 303 308 310 383
Monge — Ampere equation      241 275 278
Montenegro, M.      173 174 232 232
Morel, J.M.      710 [44] 710
Morita, Y.      193 231
Morrey, Ch.B.      242 244 269 295 295
Moseley, J.L.      500 590
Moser — Trudinger inequality      494 500 510 576 582
Moser, J.      493 510 590 618 711
Mountain pass type      11
Moving plane technique      499 503 533 543
Mselati, B.      706 712 712
Muller, S.      256 263 279 294 295 295 499 589 589 589
Multi-peak profile      558
Multiple ‘peak’ concentration      496
Multiplier      262
Multipliers theory      97
Murrey, J.D.      493 590
Nagai, T.      186 232
Nagasaki, K.      208 232
Nagashi, K.      499 500 586 591
Nagumo, M.      16 32 69 69 69
Navier — Stokes equations      73
Navier — Stokes problem      105
Necas, J.      287 294 390 391 417 422 488 488
Nehari, Z.      177 232
Neuberger, J.M.      162 229
Neumann boundary conditions      579
Ni, W.-M.      45 69 159–162 165 167 169 170 173–179 182–185 188 189 194 197 199–209 211 214 215 217 219 222 226 228 228 228 228 229 229 229 229 230 230 230 230 230 230 231 231 231 231 231 231 232 232 232 232 232 232 232 232 232 232 232 232 232 232 232 494 499 500 503 579 586 587 590 591 591 660 712
Nikishkin, A.      711 [55]
Nirenberg, L.      16 45 68 68 69 159 173 174 176 204–206 208 211 212 229 229 229 229 230 230 318 382 499 503 590 597 711
Noether equations      293
Nolasco, M.      493 494 500 510 581 586 587 590 591 591 591 591
Nonconvex problems      242
Nonconvexity      279
Nondivergence form      600
Nonlinear eigenvalue problem      386 408
Nonlinear elasticity      240 268 279
Nonsmooth analysis      293
Norm      500
Novotny, A.      75 154
Null-Lagrangians      265
Nussbaum, R.D.      33 69
Obata, M.      494 591
Obstacle problem      240 260 290
Odd multiplicity      53
Odqvist, F.K.G.      116 155
Ogden materials      267
Ohtsuka, H.      576 591
Olesen, P.      494 591
Omari, P.      32 69
One-dimensional      238
Onofri, E.      493 510 591
Oprea, J.      252 278 295
Orlandi, G.      338 382 382
Oscillatory minimizing sequences      286
Oseen approximation      74 77 80 92 101
Oseen approximation, a variant to      103
Oseen fundamental solution      93
Oseen operator      99 100
Oseen, C.W.      74 92 155 155
Osserman, R.      47 70 638 712
Oswald, L.      339 346 382
Otani, M.      402 488
Otto, S.R.      77 154
Owen, N.C.      315 316 383
p-Laplacian      240 290 386 390 391 402 409 441 475
Pacard, F.      338 383 500 586 587 590 590 590 591 591
Pacella, F.      215 230
Padula, M.      75 154
Palais — Smale sequence      576 583 584
Pan, X.      163 232
Pao, C.V.      219 232 232 232
Parabolic wake      95
Paradigmatic problem of the CV      237
Parter, S.V.      218 233
Pearson, J.E.      188 231 233
Pedregal, P.      256 258 279 282–284 289 294 294 294 295 295 295
Pego, R.L.      293 [10]
Peitgen, H.      36 70
Peletier, L.A.      407 487
Penalization      301 355
Peng, X.      493 499 589
Percus, J.K.      493 589
Perronnet, A.      219 228 229
Petryshyn, W.V.      483 487
Phase transition      299
Physically reasonable      138
Physically reasonable solutions      75 106 135
Pierre, M.      596 597 632 635 639 662 666 671 672 677 709 709 709 712
Pinchover, Y.      609 712
Pistoia, A.      170 172 230
Plate equation      241
Pohozaev, S.I.      489 [50]
Pohozaev-identity      528

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