Stanislav Ivanovich Pokhozhaev (on his 70th birthday)

O. V. Besov   ; A. M. Il'in   ; V. A. Il'in   ; L. D. Kudryavtsev   ; S. M. Nikol'skii   ; L. V. Ovsyannikov   ; E. Mitidieri   ; A. Tesei   ; L. Véron

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 2, pp. 373-378

Bibliographie

[83] “Metod rassloeniya v nelineinykh variatsionnykh zadachakh”, UMN, 51:5 (1996), 204

[84] “Suschestvenno nelineinye emkosti, indutsirovannye differentsialnymi operatorami”, Dokl. RAN, 357:5 (1997), 592–594 | MR | Zbl

[85] “Positive solutions for the $p$-Laplacian: application of the fibering method”, Proc. Roy. Soc. Edinburgh Sect. A, 127:4 (1997), 703–726 (with P. Drábek) | MR | Zbl

[86] “The fibering method in nonlinear variational problems”, Topological and variational methods for nonlinear boundary value problems (Cholín, 1995), Pitman Res. Notes Math. Ser., 365, Longman, Harlow, 1997, 35–88 | MR | Zbl

[87] Entire solutions of semilinear elliptic equations, Progr. Nunlinear Differential Equations Appl., 33, Birkhäuser, Basel, 1997 (with I. Kuzin) | MR | Zbl

[88] “On the reaction-diffusion electrolysis nonlinear elliptic equations”, Reaction diffusion systems (Trieste, 1995), Lect. Notes Pure Appl. Math., 194, Dekker, New York, 1998, 255–288 | MR | Zbl

[89] “Otsutstvie globalnykh polozhitelnykh reshenii dlya kvazilineinykh ellipticheskikh neravenstv”, Dokl. RAN, 359:4 (1998), 456–460 (with E. Mitidieri) | MR | Zbl

[90] “O suschestvovanii i otsutstvii periodicheskikh reshenii dlya nekotorykh kvazilineinykh giperbolicheskikh uravnenii”, Dokl. RAN, 363:3 (1998), 304–307 | MR | Zbl

[91] “Suschestvovanie polozhitelnogo resheniya dlya nekotorykh nelineinykh zadach Neimana”, Dokl. RAN, 363:4 (1998), 450–453 (with A. Teseem) | MR | Zbl

[92] “O metode globalnogo rassloeniya v nelineinykh variatsionnykh zadachakh”, Tr. MIAN, 219, 1997, 286–334 | MR | Zbl

[93] “On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain”, Differential Integral Equations, 11:1 (1998), 133–145 (with V. Mustonen) | MR | Zbl

[94] “Otsutstvie polozhitelnykh reshenii dlya sistem kvazilineinykh ellipticheskikh uravnenii i neravenstv v $\mathbb R^N$”, Dokl. RAN, 366:1 (1999), 13–17 (with E. Mitidieri) | MR | Zbl

[95] “Zadacha Koshi dlya rasshirennogo uravneniya Fishera–Kolmogorova”, Differents. uravneniya, 35:3 (1999), 351–366 (with L. A. Pelete) | MR | Zbl

[96] “Otsutstvie polozhitelnykh reshenii dlya kvazilineinykh ellipticheskikh zadach v $\mathbb R^N$”, Tr. MIAN, 227, 1999, 192–222 (with E. Mitidieri) | MR | Zbl

[97] “Suschestvovanie i otsutstvie periodicheskikh reshenii dlya nekotorykh nelineinykh giperbolicheskikh uravnenii”, Tr. MIAN, 227, 1999, 260–285 | MR | Zbl

[98] “Existence and nonexistence of solutions of nonlinear Neumann problems”, SIAM J. Math. Anal., 31:1 (1999), 119–133 (with A. Tesei) | DOI | MR | Zbl

[99] “The fibering method and its applications to nonlinear boundary value problems”, Rend. Istit. Mat. Univ. Trieste, 31:1–2 (1999), 235–305 | MR | Zbl

[100] “Ob usloviyakh suschestvovaniya reshenii kvazilineinogo neravenstva v poluprostranstve”, Matem. zametki, 67:1 (2000), 150–152 (with V. A. Galaktionovym, Yu. V. Egorovym, V. A. Kondratevym) | MR | Zbl

[101] “Blow-up results for nonlinear hyperbolic inequalities”, Ann. Sc. Norm. Super. Pisa. Cl. Sci. (4), 29:2 (2000), 393–420 (with L. Veron) | MR | Zbl

[102] “Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group”, Manuscripta Math., 102:1 (2000), 85–99 (with L. Véron) | DOI | MR | Zbl

[103] “On the necessary conditions of global existence of solutions to a quasilinear inequality in the half-space”, C. R. Acad. Sci. Paris. Ser. Math., 330 (2000), 93–98 (with Yu. V. Egorov, V. A. Galaktionov, V. A. Kondratiev) | MR | Zbl

[104] “Multiple positive solutions of some quasilinear Neumann problems”, Appl. Anal., 74:3–4 (2000), 363–391 (with L. Véron) | MR | Zbl

[105] “Blow-up of nonnegative solutions to quasilinear parabolic inequalities”, Rend. Mat. Atti Accad. Naz. Lincei. Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Math. Appl., 11:2 (2000), 99–109 (with A. Tesei) | MR | Zbl

[106] “Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms”, J. Funct. Anal., 177:2 (2000), 365–382 (with L. Moschini, A. Tesei) | DOI | MR | Zbl

[107] “O kriticheskikh pokazatelyakh otsutstviya reshenii dlya sistem kvazilineinykh parabolicheskikh neravenstv”, Differents. uravneniya, 37:4 (2001), 521–528 (with A. Teseem) | MR | Zbl

[108] “Otsutstvie slabykh reshenii dlya nekotorykh vyrozhdennykh i singulyarnykh giperbolicheskikh zadach v $\mathbb R_+^{n+1}$”, Tr. MIAN, 232, 2001, 248–267 (with E. Mitidieri) | MR | Zbl

[109] “Nonexistence results and estimates for some nonlinear elliptic problems”, J. Anal. Math., 84 (2001), 1–49 (with M. F. Bidaut-Véron) | DOI | MR | Zbl

[110] “On a class of nonlinear Dirichlet problems with first order terms”, Funct. Differ. Equ., 8:3–4 (2001), 345–352 (with L. Moschini, A. Tesei) | MR | Zbl

[111] “Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $\mathbb R^n$”, J. Evol. Equ., 1:2 (2001), 189–220 (with E. Mitidieri) | DOI | MR | Zbl

[112] Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh, Tr. MIAN, 234, Nauka, M., 2001 (with E. Mitidieri) | MR | Zbl

[113] Equations in mathematical physics. A practical course, Birkhäuser, Basel, 2001 (with V. P. Pikulin) | MR | Zbl

[114] “Teoremy tipa Fudzhity dlya kvazilineinykh parabolicheskikh neravenstv s nelineinym gradientom”, Dokl. RAN, 386:2 (2002), 160–164 (with E. Mitidieri) | MR | Zbl

[115] “Nekotorye obobscheniya teoremy Bernshteina”, Differents. uravneniya, 38:3 (2002), 373–378 (with E. Mitidieri) | MR | Zbl

[116] “Ob otsutstvii reshenii dlya ellipticheskikh sistem s dinamicheskimi kraevymi usloviyami”, Differents. uravneniya, 38:6 (2002), 768–774 (with M. Kirane, E. Nabana) | MR | Zbl

[117] “Obschii podkhod k teorii otsutstviya globalnykh reshenii nelineinykh uravnenii i neravenstv s chastnymi proizvodnymi”, Tr. MIAN, 236, 2002, 285–297 | MR | Zbl

[118] “O sistemakh kvazilineinykh singulyarnykh parabolicheskikh uravnenii i neravenstv”, Tr. sem. I. G. Petrovskogo, 22, 2002, 232–260 (with E. Mitidieri)

[119] “On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range”, C. R. Math. Acad. Sci. Paris, 335:10 (2002), 805–810 (with Yu. V. Egorov, V. A. Galaktionov, V. A. Kondratiev) | MR | Zbl

[120] “Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators”, Indiana Univ. Math. J., 51:6 (2002), 1321–1338 (with V. A. Galaktionov) | DOI | MR | Zbl

[121] “Instantaneous blow-up of solutions to a class of hyperbolic inequalities”, Electron. J. Differ. Equ. Conf., Proceedings of the Conference on Quasilinear Elliptic and Parabolic Equations and Systems (Luminy, France, 2001), 08, Texas State Univ., San Marcos, TX, 2002, 155–165 (with A. Tesei) | Zbl

[122] “Svoistvo polozhitelnosti reshenii nekotorykh nelineinykh ellipticheskikh neravenstv v $\mathbb R^n$”, Dokl. RAN, 393:2 (2003), 159–164 (with E. Mitidieri) | MR

[123] “O mnogomernykh skalyarnykh zakonakh sokhraneniya”, Matem. sb., 194:1 (2003), 147–160 | MR | Zbl

[124] “O giperbolicheskikh sistemakh zakonov sokhraneniya”, Differents. uravneniya, 39:5 (2003), 663–673 | DOI | MR | Zbl

[125] “Ob apriornykh otsenkakh i gradientnykh katastrofakh gladkikh reshenii giperbolicheskikh sistem zakonov sokhraneniya”, Tr. MIAN, 243, 2003, 257–288 | MR | Zbl

[126] “The general blow-up theory for nonlinear PDE's”, Function spaces, differential operators and nonlinear analysis, The Hans Triebel Anniversary Volume (Teistungen, 2001), Birkhäuser, Basel, 2003, 141–159 | MR | Zbl

[127] “Blow-up and critical exponents for nonlinear hyperbolic equations”, Nonlinear Anal., 53:3–4 (2003), 453–466 (with V. A. Galaktionov) | DOI | MR | Zbl

[128] “On similarity solutions and blow-up spectra for a semilinear wave equation”, Quart. Appl. Math., 61:3 (2003), 583–600 (with V. A. Galaktionov) | MR | Zbl

[129] “O nekotorykh integralnykh neravenstvakh, svyazannykh s potentsialami Rissa”, Dokl. RAN, 397:6 (2004), 737–742 (with E. Mitidieri) | MR

[130] “Liuvillevy teoremy dlya nekotorykh nelineinykh nelokalnykh zadach”, Dokl. RAN, 399:6 (2004), 732–736 (with E. Mitidieri) | MR

[131] “Nonexistence of local solutions to semilinear partial differential inequalities”, Ann. Inst. H. Poincaré Anal. Non Linéare, 21:4 (2004), 487–502 (with A. Tesei) | DOI | MR | Zbl

[132] “Towards a unified approach to nonexistence of solutions for a class of differential inequalities”, Milan J. Math., 72 (2004), 129–162 (with E. Mitidieri) | DOI | MR | Zbl

[133] “Global solutions of higher-order semilinear parabolic equations in the supercritical range”, Adv. Differential Equations, 9 (2004), 1009–1038 (with Yu. V. Egorov, V. A. Galaktionov, V. A. Kondratiev) | MR | Zbl

[134] Prakticheskii kurs po uravneniyam matematicheskoi fiziki, MTsNMO, M., 2004 (with V. P. Pikulinym)

[135] “Liuvillevy teoremy dlya nekotorykh klassov nelineinykh nelokalnykh zadach”, Tr. MIAN, 248, 2005, 164–184 (with E. Mitidieri) | Zbl

[136] “Representation formulae and inequalities for solutions of a class of second order partial differential equations”, Trans. Amer. Math. Soc., 358:2 (2006), 893–910 (with L. D'Ambrosio, È. Mitidieri) | DOI | MR | Zbl

[137] “Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators”, J. Evol. Equ., 6:1 (2006), 45–69 (with V. A. Galaktionov) | DOI | MR | Zbl