Chipot M., Quittner P. — Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 3 :: Электронная библиотека попечительского совета мехмата МГУ

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Chipot M., Quittner P. — Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 3

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Название: Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 3

Авторы: Chipot M., Quittner P.

Аннотация:

This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semi-linear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, fixed point theory for elliptic boundary value problems.

* Collection of self contained, state-of-the-art surveys
* Written by well-known experts in the field
* Informs and updates on all the latest developments

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 630

Добавлена в каталог: 07.05.2008

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Предметный указатель

Ghergu, M.      319 335 336 349 368 396 397 397
Giacomoni, J.      376 395 397
Giaquinta, M.      406 462
Gibbs phenomenon      171
Gidas, B.      219 313 451 461 462
Gilardi, G.      468 551
Gilbarg, D.      393 397 397 403 406 407 435 451 462 462
Ginzburg — Landau energy      173
Giraud, G.      410 462 462
Gobbino, M.      196 212
Godoy, T.      335 358 395 395 397
Gomes, D.      144 212
Gomes, S.N.      321 336 342 348 364 397 397
Goncalves, J.V.      337 398
Goulaouic, C.      407 408 462
Greenkorn, R.A.      468 471 552
Grossi, M.      222 255 310 312 312 313 314 314
Groves, M.D.      559 603
Gu, J.      364 397
Gui, C.      284 314 321 344 349 398
Gurney, W.S.C.      324 384 398
Gurtin, M.E.      324 384 398
Haitao, Y.      372 374 375 398
Hale, J.K.      360 398
Hamiltonian structure      556
Han, Q.      403 406 407 462 462 462
Han, X.      11 99
Han, Z.-C.      219 314
Harjulehto, P.      10 11 99 99 99
Harmonic center      179
Hasto, P.      10 11 99 99 99
Hausdorff measure      156
Helein, F.      174 175 210
Henry, D.      322 353 354 356 357 360 398
Hernandez, G.E.      336 397
Hernandez, J.      320—323 325 330 332 339—341 353 355 358 362 364 366 369 370 377 383 397 397 397 398 398 398 398 398
Hess, P.      325 341 356 396 398
Hilbert, D.      325 396 403 462
Hirano, N.      266 314 322 376 398
Hohenberg, P.C.      555 604
Holder, condition of order $\?lpha$       409
Holder, inequality      13
Holder, inequality, inverse      38
Holder, O.      406 409 462
Holder, spaces      411
Holomorphic semigroup      358
Holopainen, I.      451 461
Homoclinic orbit      593
Homogenization of Hamilton — Jacobi equations      143
Homogenization of networks      204
Homogenization, theorem      135
Homogenization, theory      134
Homogenized functional      135
Hopf, E.      406 410 462
Hormander, L.      393 397 407 462
Hua Lin, F.      321 344 349 398
Huang, S.-Y.      469 552
Hudzik, H.      12 99
Image recovery      6
Implicit function theorem      563
Initial value problem      562 576
Internal normal      156
Interpolation inequalities      415
Ioffe, D.      103 210
Ising system      166 205
Isolated singularities      449 450
Isometric embedding      186
Ivanov, A.V.      12 99
Iwaniec, T.      12 99 99
Jacobian, distributional      175
James, R.D.      103 185 186 209 212 212 212
Jerrard, R.L.      175 176 212 212
Jing, R.      223 314 314
John, F.      334 393 396
Jones, C.K.R.T.      559 604
Joseph, D.D.      223 314
Jump set      156
Jungel, A.      319 397
Kalashnikov, A.S.      12 99 99 99 100
Kalies, W.D.      556 559 603 603 603
Kamin, S.      321 324 340 341 396
Kamynin, L.I.      393 398
Karatson, J.      323 377 380 383 398 398
Karlsson, M.      556 603
Kato, T.      325 398
Kaufmann, U.      358 397
Kawohl, B.      12 99
Kazdan, J.      218 314
Kellogg, O.D.      410 462
Kevorkian, J.      596 603
Khimchenko, B.N.      393 398
Khruslov, E.Ya.      145 213
Kichenassamy, S.      403 406—408 435 447 450—452 455 462 462 462 462 463 463 463 463
Kinderlehrer, D.      468 473 475 552
Kohn, R.V.      173 212
Koskenoja, M.      10 99
Kovacik, O.      11 12 100
Kowalczyk, M.      224 293 296—298 301 314
Kowalsky, M.      555 603
Krein — Rutman theorem      446
Krein, M.G.      404 446 463
Kufner, A.      356 398
Kuske, R.      559 594 596 603
Kutev, N.      333 397
Kutznetsov, Y.A.      560 603
Kwapisz, J.      556 559 603 603
Ladyzhenskaya, O.A.      18 24 34 100 339 387 389 398 403 463
Laetsch, T.      321 324 341 396 398
Lair, A.V.      336 374 375 398
Lami-Dozo, E.      320 335 336 353 374 395 396
Laminate      139
Langlais, M.      370 397
Laplace, equation      408
Laplace, transform      408
Laps      557 561 576 584
Lattice system      199
Lax formula      143
Lazer, A.C.      321 342 343 363 364 366 367 376 396 398
Le Bris, C.      199 203 210 210 212
Le Dret, H.      181 212
Le Dung      488 491 516 552
Leach, J.A.      319 358 398
Leaci, A.      188 211
Lennard — Jones potential      207
Leoni, G.      119 125 127 172 173 210 211 212
Leray, J.      403 404 444 463
Letta, G.      122 212
Levine, S.      7 98 100
Lew, A.J.      207 208 210
Li, Y.Y.      220 221 223 231 313 314 314 314
Lichtenstein, L.      410 463
Lieberman, G.M.      512 550 552
Liminf inequality      111
Limsup inequality      111
Lin, C.-S.      223 284 313 314 315 315 315
Lin, F.H.      403 462
Line-tension effect      168
Linearized stability      353
Lions, J.-L.      12 100 330 397 477 552
Lions, P.-L.      7 98 199 203 210 210 212 223 313 321 341 398
Liouville, equation      410
Liouville, J.      223 315
Liouville, property      450
Littlewood — Paley (LP)      412
Local weak solutions      43
localization      5
Localization, principle      140
Localization, property      11
Loewner — Nirenberg equation      451
Loewner, C.      451 463

Log-continuous      17
Lopez-Gomez, J.      325 332 398
Lower bound      104
Lower-semicontinuous envelope      114
Lundgren, T.S.      223 314
Lurie, K.      141 213
Lyaghfouri, A.      468 469 473 475 509 521 552 552 552 552 552 552 552
Ma, L.      223 315
MacCamy, R.C.      324 384 398
Majer, P.      374 396
Mancebo, F.J.      320—322 325 330 332 339—341 353 355 362 364 366 369 370 398 398 398
Mancini, G.      284 313
Manes, A.      325 398
Manneville, P.      555 603
Mantegazza, C.      173 209
Marcellini, P.      12 100
March, R.      197 198 211
Marchenko, A.V.      145 213
Marchioro, C.      223 313
Marcus, M.      451 455 461 461 463
Martel, Y.      385 396
Mascarenhas, L.      119 210
Maximal solution      337 451 502 539
Maximum principle      393 423 449 570 589 590 593
Maybee, J.S.      319 321 354 397
McKenna, P.J.      321 336 342 343 363 364 366 367 370 376 396 396 396 398 398 557 559 604 604 604
Mean curvature      416 451 455
Merle, F.      223 313
Method of continuity      440
Meulenbroek, B.      603 604
Meyers, N.G.      406 463
Michaille, M.      12 26 28 64 98 98
Micheletti, A.M.      266 314 315 325 336 396 398
Mignot, F.      223 315
Milton, G.W.      140 213
Mingione, G.      7 8 12 97 98 98 98 99
Minimal solution      337 502 510 539 545
Minkowski content      188
Miranda, C.      463 [59]
Mitidieri, E.      324 328 396
Mizel, V.J.      556 604
Modica — Mortola theorem      159
Modica, L.      103 108 159 211 213 213
Molle, R.      222 315 315
Monakhov, V.      10 100
Monotone nonlinearities      333
Monotonicity property      486
Montenegro, M.      322 323 366 367 384—388 397 397 397 397
Moreau — Yosida transform      112
Morel, J.M.      188 213 319 355 367 385 397
Morgan, F.      176 213
Morrey, C.B.      127 213 403 406 463 463
Mortola, S.      108 159 213
Mosco, U.      134 150 151 211 211 213
Mugnai, L.      158 210
Muller, S.      103 117 119 130 136 138 170 173 179 185 186 209 211 212 212 212 212 212 212 212 212 212 213 213
Multibump solution      576 594 599
Multiplicity of principal eigenvalues      332
Multiscale analysis      558 593 594
Mumford — Shah functional      189
Mumford, D.      158 189 213 213
Murat, F.      145 211 223 315
Musielak — Orlicz space      11
Musielak, J.      11 12 100
Musso, M.      221—224 231 253 262—266 270 285 293 296—298 301 309 310 312 313 313 313 314 314 314 314 314 314 314 314 314 315 315
Nagasaki, K.      223 224 315
Namba, T.      324 384 398
Nearest neighbor      200
Needham, D.J.      319 358 398
Nesi, V.      132 212
Neumann, C.      409 463
Newtonian potential      408 419
Next-to-nearest neighbor      203
Ni, W.-M.      284 315 315 315 315
Nirenberg, L.      218 222 313 325 330 339 371 375 387 393 395 396 396 403—407 435 451 461 462 463 463 463
Nisbet, R.N.      324 384 398
Non-Newtonian fluids      7 8
Nonhomogeneous      9
Nonoscillation result      494 520
Nonstandard      4
Nonstandard growth condition      4 8
Nonstandard growth condition, of type      8
Noussair, E.S.      284 313
Obstacle problem      151
Oliveira, H.      8 98
Optimal profile      162
Orlandi, G.      176 209
Orlicz — Sobolev space      11
Orszag, S.A.      596 603
Ortiz, M.      207 208 210
Oswald, L.      319 324 341 355 367 385 396 397
Otto, F.      103 173 211 212
Ouyang, T.      349 353 366 383 399
p(x)-Laplace, equation      3 7 10
p(x)-Laplace, equation, eigenvalue problem for      34
p(x)-Laplace, equation, generalized      9 16
p(x)-Laplacian      3
p(x)-Laplacian, anisotropic      89
p-Laplacian      3 407 450
Pacard, F.      223 224 285 291 313 314 407 450 463
Pacella, F.      284 313 313
Paczka, S.      358 397
Pagano, S.      203 213
Pair potential      199
Pallara, D.      103 109 125 188 189 209
Palmieri, G.      368 369 396
Pan, X.B.      284 315
Pao, C.V.      321 322 340 341 370 399
Paolini, M.      158 209
Paroni, R.      203 213
Passaseo, D.      218 222 315 315 315 315 315
Pedregal, P.      130 212
Peletier, L.A.      219 269 270 313 556 557 559 561 562 569 571—573 575 577 579 583 585 589 590 593 594 596 603 603 604 604 604 604 604 604 604 604
Peletier, M.A.      556 604
Percivale, D.      117 151 185 208 208 209
Perforated domain      144
Perimeter      155
Perron      410
Phillips, D.      386 399
Piatnitski, A.      103 155 201 210 211 213
Pistoia, A.      222 253 263 266 285 310 312 314 314 314 314 314 315 315 315 315
Pohozaev, S.      217 315
Poincare — Perron      435
Poincare, balayage method      410
Poincare, inequality      426
Point of density      156
Points of symmetry      561 576 586
Poisson equation      409
Polyconvex function      127
Ponsiglione, M.      132 212
pool      509
Pozio, A.      324 364 384 396
Presutti, E.      103 166 209
Prinari, F.      133 211
Principal curvature      416
Principal eigenvalue      329 330
Protter, M.H.      325 394 399 589 590 604
Pucci, C.      393 399
Pucci, P.      6 11 100
Puel, J.      223 315
Pulvirenti, M.      223 313
Qiu, L.      370 399
Quasiconvex envelope      128
Quasiconvexity      127
Rabinowitz, P.H.      223 313 320 321 324 333—335 341—344 364 385 396 399 403 404 444 446 447 463
Radial solutions, multiplicity of      377
Radial solutions, to singular problems      377
Radial solutions, uniqueness of      377
Radulescu, V.      319 335 336 349 368 396 397 397
Raitums, U.      140 213

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