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

-connected solution      507
$\Gamma$ -convergence      110
$\Gamma$ -convergence, development by      117
$\Gamma$ -limit      110
$\Gamma$ -limit, lower      113
$\Gamma$ -limit, upper      113
$\Gamma^+$ -convergence      177
$\mathcal{A}$ -harmonic      488 512 515
Abramowitz, M.      600 603
Acerbi, E.      7 8 12 97 98 98 98 127 128 130 142 151 185 208 208 208 208
Adams, R.A.      15 98 325 395
Adimurthi      284 310 312 313 313 313 376 395
Agmon, S.      325 339 393 395 405 407 435 461
Akhmediev, N.N.      556 603
Alama, S.      375 395
Alberti, G.      103 117 159 166—169 176 208 209 209 209 209 209 209
Alessandrini, G.      512 515 551
Alicandro, R.      195 201 202 206 208 209 209 209 209
Alkhutov, Y.      12 98
Alonso, A.      475 551
Alt, H.W.      468 469 473 475 551 551 551
Amann, H.      321 330 333 340 341 370 395
Amar, M.      103 178 179 209 209
Ambrosetti, A.      320 341 369 371 374 395
Ambrosio — Tortorelli energies      191
Ambrosio, L.      103 109 125 157 173 188—190 209 209 209 209
Anisotropic      9
Anisotropic, diffusion      56
Anisotropic, spaces      14
Anisotropy, essential      73
Ansini, N.      147 164 165 170 209 209 209
Anti-ferromagnetic interaction      206
Antontsev, S.N.      6 8 11 12 40 49 53 67 76 95 98 98 98 98 98 98 98 98 98 98 98
Anzellotti, G.      117 209 209
Approximate gradient      188
Aranda, C.      320 335 336 353 374 395 395 395 396
Asymptotic analysis      217
Attouch, H.      110 209
Aubin, T.      219 226 313 403 441 461
Badiale, M.      375 396
Bahri, A.      218 220 231 313 313 313
Baiocchi transformation      467
Baiocchi, C.      467—470 551 551 551 551 551 551
Baldo, S.      117 171 176 209 209 209 209
Ball, J.M.      127 209
Balogh, Z.      451 461
Bandle, C.      324 364 384 396 407 451 455 461 461 461 461
Baraket, S.      224 285 291 313
Barbu, V.      475 482 551
Barenblatt, G.      10 98
Barles, G.      12 98
Barotropic gases      9
Barron, E.N.      133 209
Bartolucci, D.      223 313
Baseline solution      559 594
Beam equation      555
Bear, J.      471 551
Bellettini, G.      103 158 166 209 209 209 210
Ben Ayed, M.      222 255 313
Benci, V.      336 396 468 551
Bender, C.M.      596 603
Berestycki, H.      330 396
Bernstein’s inequality      412
Bers, L.      334 393 396 461
Bertsch, M.      320 324 325 329 333 355 386 396
beta function      600
Bethuel, F.      174 175 210
Bhattacharya, K.      103 185 209 209
Bi-stable systems      556
Bifurcation      446
Bifurcation, curves      559
Bifurcation, problem      573 585
Blake — Zisserman approximation      206
Blake, A.      206 210
Blanc, X.      199 203 210 210
Blanchard, P.      18 78 98
Blow-up of positive solutions      354
Blow-up, technique      119
Bocea, M.      185 210
Bodineau, T.      103 210
Bonheure, D.      559 603 603
Borderline cases      82
Bouchitte, G.      103 119 159 167—169 209 209 210 210 210
Boundary, behavior of solutions      341
Boundary, blow-up      451
Boundary, condition Dirichlet      471 491
Boundary, condition Dirichlet, leaky      469 471 516
Boundary, condition Dirichlet, unified      473
Boundary, essential      156
Bourdin, B.      191 210
Braides, A.      103 110 112 119 120 122 126—128 130 135 138 142 144 147 151 153 155 157 159 162 164 165 170 183—185 188 190 191 193—195 197—199 202—208 209 209 209 209 209 209 209 209 209 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 210 211 211 211
Branches      573 582 583 599 600
Brandt, A.      406 461 461
Brezis, H.      174 175 210 218 219 222 223 269 270 313 313 313 313 320 321 324 340 341 369 371 374 375 385 387 395 396 396 396 396 403 404 410 426 446 449 461 461 461 468 473 475 551 552
Brouwer fixed-point theorem      441
Browder, F.      410 461
Brown, K.J.      341 356 396
Bruning, E.      18 78 98
Bubbling      218—222 224
Buffoni, B.      556 603
Buryak, A.V.      556 603
Buttazzo, G.      103 126 142 151 185 208 208 210 210 211 211
BV-ellipticity      157
Cabre, X.      374 396 406 407 461 461
Caccioppoli, partition      156
Caccioppoli, R.      410 461
Caccioppoli, set      156
Caffarelli, L.A.      219 223 313 313 406 407 451 461 461 461 461 468 552
Caglioti, E.      223 313
Camar-Eddine, M.      134 151 211
Campanato, S.      406 461 461
Canino, A.      376 396
Cao, D.      284 313
Capacitary potential      179
Capacity      145
Capelo, A.      470 551
Capogna, L.      407 462
Caratheodory functions      16 24
Carriero, M.      188 211
Carrillo, J.      468 469 473 475 507 509 521 551 552 552 552
Cassandro, M.      103 166 209
Cauchy — Born rule      203
Cazenave, T.      385 396
Cell-problem homogenization formula      137
Central interaction      199
Cerami, G.      320 341 369 371 374 395
Chaljub-Simon, A.      407 450 462
Chambolle, A.      7 98 103 191 196 206 210 210 211 211 211 211
Champion, T.      133 211
Champneys, A.R.      556 559 560 603 603 603 603 604
Chandrasekhar, S.      217 223 313
Chang, K.C.      376 396 396
Chang, S.-Y.A.      223 313
Chaparova, J.V.      556 603 603 604
Chen, C.-C.      223 313
Chen, F.      370 396
Chen, Y.      7 98 100
Cheng, J.      349 364 400
Cherkaev, A.V.      141 213
Chiado Piat, V.      151 155 157 164 165 188 208 209 210 210
Chipot, M.      12 26 28 40 64 98 98 98 468—470 473 475 507 509 521 552 552 552 552 552
Choi, Y.S.      366 367 370 396 396 396
Choquet-Bruhat, Y.      407 450 462
Cicalese, M.      201 202 204 206 208 209 209 209 210
Cioranescu, D.      145 211
Cirstea, F.      368 396
Clapp, M.      266 313
Clement, P.      324 328 396
Closure of Riemannian metrics      142
Coclite, M.M.      320 340 368 369 396 396 396 396

Cohen, D.S.      321 324 341 396
Cole, J.D.      596 603
Colesanti, A.      451 462
Collet, P.      555 603
Compact operator      444
Compact support principle      11
Compressible fluids      9
Compression of a cone      447
Concentration–compactness      176
Conti, S.      103 172 173 211 211 211
Convection, functionals      194
Convection, terms      32 55
Cordes, H.O.      407 462 462
Coron, J.M.      218 221 231 255 313 313
Cortesani, G.      188 211
Coscia, A.      197 211
Courant, R.      325 396 403 462
Crandall, M.G.      133 211 223 313 320 321 324 333—335 341—344 364 385 396
critical exponent      218 220 223
criticality      217
Cuoghi, P.      451 462
Currents      176
Dacorogna, B.      127 128 211
Dai, Q.      364 397
Dal Maso, G.      103 110 117 120 150 151 158 194 207 208 208 209 210 210 211 211 211 211 211 211 211 211
Damascelli, L.      489 552
Dancer, E.N.      218 313
Darcy law      9 471
Darcy law, linear      510 545
Darcy law, nonlinear      468 471 511
Dautray, R.      330 397
David, G.      188 211
Davies, E.B.      357 397
Davila, J.      309 313 313 322 323 366 367 384—388 397 397 397 397 397
Davini, A.      143 211
de Figueiredo, D.G.      324 328 396
De Giorgi rectifiability theorem      156
De Giorgi — Letta measure criterion      122
De Giorgi, E.      103 106 110 120 122 128 188 211 211 211 212 212
de Giovanni, M.      376 396
De Lellis, C.      173 209
de Marsily, G.      10 98
De Pascale, L.      133 211
De Simone, A.      103 173 211 212
de Thelin, F.      325 397
Dee, G.T.      555 603
Defranceschi, A.      103 120 122 126—128 135 138 142 151 153 190 208 210 210
del Pino, M.      221—224 231 262 264—266 270 285 293 296—298 301 309 313 313 313 314 314 314 314 314 314 314 314 320 321 336 342 364 397 397
Diaz, G.      12 98
Diaz, J.I.      5 8 11 12 49 53 95 98 98 98 99 99 319 324 341 355 366 367 383—385 397 397 397
DiBenedetto, E.      12 99 99 488 552
Diening, L.      11 99
Dieudonne, J.      329 330 397
Diffusion–absorption, balance      43
Diffusion–absorption, processes      5
Ding, W.      218 314
Directional localization      56
Dirichlet, form      133
Dirichlet, integral      409
Dirichlet, problem      409
Distance function      416
Doedel, E.      560 603
Dolbeault, J.      222 223 270 314 314
Dolzmann, G.      103 211
Donsker, M.      330 397
Double-well energy      158
Doubly nonlinear      10
Douglis, A.      325 339 393 395 405—407 435 461 462
Druet, O.      270 314
Dugundji, J.      447 462
Duzaar, F.      12 99
Dyadic decomposition      412
D’Onofrio, L.      12 99
Eckmann, J.P.      555 603
Edmunds, D.      11 99
Ehihara, Y.      364 399
El Mehdi, K.      222 255 310 313 314
Elastica functional      158
Electrorheological fluids      7
Embedding theorems      15
Energy      556 560 562 572
Energy, functions      44 79
Energy, identity      560 570 571 577 595 600
Energy, relation      47
Entov, V.      10 98
Equation of anisotropic diffusion      86
Equation of mixed type      90
Equation with convective terms      88
Equicoercive sequence      115
Ermentrout, B.      560 603
Esposito, P.      310 312 314 314 314
Essen, M.      407 461
Euler — Lagrange equation      556
Euler — Poisson — Darboux      407
Evans, L.C.      109 129 133 144 211 212 212 212 407 461 462
Existence of a solution      475
Extension Lemma      151
Fabricant, A.      333 397
Fairgrieve, T.F.      560 603
Fan, X.-L.      10—12 35 47 99 99 99 99 99 99 99 99 99
Fast diffusion–weak absorption      5
Feireisl, E.      361 397
Felli, V.      223 314
Felmer, P.      221 222 231 262 264 265 285 314 314 314 314
Ferromagnetic interaction      205
Fife, P.C.      407 462 555 603 603
Finite-difference energies      196
Fisher — Kolmogorov equation, extended      555
Fixed-point theorems      443
Flat convergence      175
Fleckinger, J.      325 397
Flucher, M.      178 179 212 212 451 461
Focardi, M.      190 212
Fonseca, I.      119 125 127 130 172 173 183—185 210 210 210 211 212 212 212
Fowler, R.H.      273 314
Fragala, I.      12 99 142 210
Francfort, G.A.      183 184 204 205 210 210
Franzoni, T.      103 212
Free boundary      471 490 516
Free boundary, continuity of      495 526
Free boundary, solutions      383
Free-discontinuity problem      186
Friedman, A.      468—470 551 552 552 552
Friesecke, G.      103 185 186 204 212 212 212 212
Fu, Y.      10 99
Fuchsian      452
Fuchsian, operator of type (I)      435
Fuchsian, operator of type (II)      435
Fuchsian, reduction      452
Fukushima, M.      133 212
Fulks, W.      319 321 354 397
Function with bounded variation      156
Fundamental estimate      122
Furusho, Y.      364 399
Fusco, N.      103 109 125 127 128 130 188 189 208 209
G-convergence      132
Gamba, I.M.      319 397
Gamma function      601
Gariepy, R.F.      109 133 211 212
Garroni, A.      132 170 178 179 207 209 210 212 212 212 212 212
Gaucel, S.      370 397
Gauss — Green formula      156
Gauss, C.F.      409 462
Gazzola, F.      12 99
Ge, Y.      223 314
Gelfand, I.M.      223 314
Gelli, M.S.      190 195 199 202 203 206—208 209 210 210 210 210 212
Generalized diffusion equation      3 24
Generalized special functions of bounded variation      189
Geometric rigidity      186

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