Pohozaev, S. I. Blow-up of global sign-changing solutions of a nonlinear heat equation. (English. Russian original) Zbl 1387.35385 Dokl. Math. 85, No. 2, 225-228 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 3, 296-299 (2012). MSC: 35K91 35B44 35K15 PDFBibTeX XMLCite \textit{S. I. Pohozaev}, Dokl. Math. 85, No. 2, 225--228 (2012; Zbl 1387.35385); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 3, 296--299 (2012) Full Text: DOI
Pohozaev, S. I. On a class of singular solutions to the Korteweg-de Vries equation. (English. Russian original) Zbl 1217.35165 Dokl. Math. 82, No. 3, 936-938 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 4, 460-462 (2010). MSC: 35Q53 35A22 35A24 35B40 PDFBibTeX XMLCite \textit{S. I. Pohozaev}, Dokl. Math. 82, No. 3, 936--938 (2010; Zbl 1217.35165); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 4, 460--462 (2010) Full Text: DOI
Pohozaev, S. I. On the blow-up of sign-changing solutions to semilinear parabolic equations. (English. Russian original) Zbl 1211.35056 Dokl. Math. 81, No. 2, 185-187 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 1, 22-24 (2010). MSC: 35B44 35K58 35K15 PDFBibTeX XMLCite \textit{S. I. Pohozaev}, Dokl. Math. 81, No. 2, 185--187 (2010; Zbl 1211.35056); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 1, 22--24 (2010) Full Text: DOI
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I. Some Liouville theorems for quasilinear elliptic inequalities. (English. Russian original) Zbl 1387.35207 Dokl. Math. 79, No. 1, 118-124 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 6, 741-747 (2009). MSC: 35J60 35R45 35J62 35B09 PDFBibTeX XMLCite \textit{G. Caristi} et al., Dokl. Math. 79, No. 1, 118--124 (2009; Zbl 1387.35207); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 6, 741--747 (2009) Full Text: DOI
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I. Local estimates and Liouville theorems for a class of quasilinear inequalities. (English. Russian original) Zbl 1159.35342 Dokl. Math. 77, No. 1, 85-89 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 4, 453-457 (2008). MSC: 35J60 35R45 35B45 PDFBibTeX XMLCite \textit{G. Caristi} et al., Dokl. Math. 77, No. 1, 85--89 (2008; Zbl 1159.35342); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 4, 453--457 (2008) Full Text: DOI
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. (English. Russian original) Zbl 1152.35101 Dokl. Math. 77, No. 2, 238-242 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 439-442 (2008). MSC: 35Q53 35B45 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Dokl. Math. 77, No. 2, 238--242 (2008; Zbl 1152.35101); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 439--442 (2008) Full Text: DOI
Galaktionov, V. A.; Pohozaev, S. I. Blowup for nonlinear initial-boundary value problems. (English. Russian original) Zbl 1327.35163 Dokl. Math. 75, No. 1, 76-79 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 4, 444-447 (2007). MSC: 35K55 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{S. I. Pohozaev}, Dokl. Math. 75, No. 1, 76--79 (2007; Zbl 1327.35163); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 4, 444--447 (2007) Full Text: DOI
Mitidieri, È.; Pokhozhaev, S. I. On some integral inequalities associated with Riesz potentials. (English. Russian original) Zbl 1378.35125 Dokl. Math. 70, No. 1, 623-627 (2004); translation from Dokl. Akad. Nauk 397, No. 6, 737-742 (2004). MSC: 35J60 35R45 PDFBibTeX XMLCite \textit{È. Mitidieri} and \textit{S. I. Pokhozhaev}, Dokl. Math. 70, No. 1, 623--627 (2004; Zbl 1378.35125); translation from Dokl. Akad. Nauk 397, No. 6, 737--742 (2004)
Mitidieri, E.; Pokhozhaev, S. I. Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. (English. Russian original) Zbl 1146.35382 Dokl. Math. 66, No. 2, 187-191 (2002); translation from Dokl. Akad. Nauk 386, No. 2, 160-164 (2002). MSC: 35K55 35R45 PDFBibTeX XMLCite \textit{E. Mitidieri} and \textit{S. I. Pokhozhaev}, Dokl. Math. 66, No. 2, 187--191 (2002; Zbl 1146.35382); translation from Dokl. Akad. Nauk 386, No. 2, 160--164 (2002)
Mitidieri, E.; Pokhozhaev, S. I. Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). (English. Russian original) Zbl 0969.35052 Dokl. Math. 59, No. 3, 351-355 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 1, 13-17 (1999). MSC: 35J50 35J60 35B05 35A05 35R45 PDFBibTeX XMLCite \textit{E. Mitidieri} and \textit{S. I. Pokhozhaev}, Dokl. Math. 59, No. 3, 13--17 (1999; Zbl 0969.35052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 1, 13--17 (1999)
Pokhozhaev, S. I.; Tesej, A. Existence of positive solutions to some nonlinear Neumann problems. (English. Russian original) Zbl 0968.35049 Dokl. Math. 58, No. 3, 414-417 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 450-453 (1998). Reviewer: Radu Precup (Cluj-Napoca) MSC: 35J65 35B05 35A05 PDFBibTeX XMLCite \textit{S. I. Pokhozhaev} and \textit{A. Tesej}, Dokl. Math. 58, No. 3, 450--453 (1998; Zbl 0968.35049); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 450--453 (1998)
Pokhozhaev, S. I. On the existence and nonexistence of periodic solutions to some nonlinear hyperbolic equations. (English. Russian original) Zbl 0972.35073 Dokl. Math. 58, No. 3, 395-399 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 3, 304-307 (1998). Reviewer: V.Mustonen (Oulu) MSC: 35L70 35B10 PDFBibTeX XMLCite \textit{S. I. Pokhozhaev}, Dokl. Math. 58, No. 3, 304--307 (1998; Zbl 0972.35073); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 3, 304--307 (1998)
Mitidieri, E.; Pokhozhaev, S. I. The absence of global positive solutions of quasilinear elliptic inequalities. (English. Russian original) Zbl 0976.35100 Dokl. Math. 57, No. 2, 250-253 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 4, 456-460 (1998). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35R45 35B05 35R60 PDFBibTeX XMLCite \textit{E. Mitidieri} and \textit{S. I. Pokhozhaev}, Dokl. Math. 57, No. 2, 456--460 (1998; Zbl 0976.35100); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 4, 456--460 (1998)
Pokhozhaev, S. I. The essentially nonlinear capacities induced by differential operators. (English. Russian original) Zbl 0963.35056 Dokl. Math. 56, No. 3, 924-926 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 5, 592-594 (1997). MSC: 35J60 31C45 PDFBibTeX XMLCite \textit{S. I. Pokhozhaev}, Dokl. Math. 56, No. 3, 592--594 (1997; Zbl 0963.35056); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 5, 592--594 (1997)