RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki

Mat. Zametki, 2015, Volume 98, Issue 2, Pages 187–195 (Mi mzm10622)

Blow-Up of Solutions of Some Nonlinear Inequalities with Singularities on Unbounded Sets
E. I. Galakhov, O. A. Salieva

References

1. C. Azizieh, P. Clément, E. Mitidieri, “Existence and apriori estimates for positive solutions of $p$-Laplace systems”, J. Differential Equations, 184:2 (2002), 422–442  crossref  mathscinet  zmath  adsnasa
2. P. Clément, R. Manásevich, E. Mitidieri, “Positive solutions for a quasilinear system via blow-up”, Comm. Partial Differential Equations, 18:12 (1993), 2071–2106  crossref  mathscinet  zmath
3. S. I. Pokhozhaev, “Ob otsutstvii globalnykh reshenii zadachi Koshi dlya uravneniya Kortevega–de Friza”, Funkts. analiz i ego pril., 46:4 (2012), 51–60  mathnet  crossref  mathscinet  zmath
4. S. I. Pokhozhaev, “Ob otsutstvii globalnykh reshenii uravneniya Gamiltona–Yakobi”, Differents. uravneniya, 44:10 (2008), 1405–1415  mathscinet
5. L. D'Ambrosio, E. Mitidieri, “A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities”, Adv. Math., 224:3 (2010), 967–1020  crossref  mathscinet  zmath
6. A. Farina, J. Serrin, “Entire solutions of completely coercive quasilinear elliptic equations”, J. Differential Equations, 250:12 (2011), 4367–4408  crossref  mathscinet  zmath  adsnasa
7. A. Farina, J. Serrin, “Entire solutions of completely coercive quasilinear elliptic equations, II”, J. Differential Equations, 250:12 (2011), 4409–4436  crossref  mathscinet  zmath  adsnasa
8. R. Filippucci, “Nonexistence of positive weak solutions of elliptic inequalities”, Nonlinear Anal., Theory Methods Appl., 70:8 (2009), 2903–2916  crossref  mathscinet  zmath
9. R. Filippucci, P. Pucci, M. Rigoli, “Nonlinear weighted $p$-Laplacian elliptic inequalities with gradient terms”, Commun. Contemp. Math., 12:3 (2010), 501–535  crossref  mathscinet  zmath
10. Xiaohong Li, Fengquan Li, “Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity”, Nonlinear Anal., Theory Methods Appl., 75:5 (2012), 2812–2822  crossref  mathscinet  zmath
11. P. Pucci, J. Serrin, “A remark on entire solutions of quasilinear elliptic equations”, J. Differential Equations, 250:2 (2011), 675–689  crossref  mathscinet  zmath  adsnasa
12. J. Serrin, “Entire solutions of quasilinear elliptic equations”, J. Math. Anal. Appl., 352:1 (2009), 3–14  crossref  mathscinet  zmath
13. E. Mitidieri, S. I. Pokhozhaev, “Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh”, Tr. MIAN, 234, Nauka, M., 2001, 3–383  mathnet  mathscinet  zmath
14. S. I. Pokhozhaev, “Suschestvenno nelineinye emkosti, porozhdennye differentsialnymi operatorami”, Dokl. RAN, 357 (1997), 592–594  mathnet  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026