Doklady Akademii Nauk
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Dokl. Akad. Nauk:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Doklady Akademii Nauk, 2009, Volume 424, Number 6, Pages 741–747 (Mi dan134)  

This article is cited in 20 scientific papers (total in 20 papers)

MATHEMATICS

Some Liouville theorems for quasilinear elliptic inequalities

G. Caristia, E. Mitidieria, S. I. Pokhozhaevb

a Dipartimento di Matematica e Informatica, Università di Trieste, Italia
b Steklov Mathematical Institute, Russian Academy of Sciences
Citations (20)
English version:
Doklady Mathematics, 2009, Volume 79, Issue 1, Pages 118–124
DOI: https://doi.org/10.1134/S1064562409010360
Bibliographic databases:
Document Type: Article
Language: Russian
Linking options:
  • https://www.mathnet.ru/eng/dan134
  • This publication is cited in the following 20 articles:
    1. Liguang Liu, Yuhua Sun, Jie Xiao, “Quasilinear Laplace equations and inequalities with fractional orders”, Math. Ann., 388:1 (2024), 1  crossref
    2. Nan Zhao, Yu Liu, “Nonnegative solutions of a fractional differential inequality on Grushin spaces and nilpotent Lie groups”, Forum Mathematicum, 35:1 (2023), 123  crossref
    3. A. G. Losev, V. V. Filatov, “Liouville type theorems for solutions of semilinear equations on non-compact Riemannian manifolds”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:4 (2021), 629–639  mathnet  crossref
    4. Sylwia Dudek, “The Liouville-type theorem for problems with nonstandard growth derived by Caccioppoli-type estimate”, Monatsh Math, 192:1 (2020), 75  crossref
    5. Fanheng Xu, “On the existence of nonnegative solutions to semilinear differential inequality on Riemannian manifolds”, Nonlinear Analysis, 183 (2019), 29  crossref
    6. Alexander Grigor'yan, Yuhua Sun, “On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds”, Calc. Var., 58:6 (2019)  crossref
    7. Yuhua Sun, “Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of ℝn”, Pacific J. Math., 293:1 (2018), 245  crossref
    8. Fanheng Xu, Lifei Wang, Yuhua Sun, “Liouville type theorems for systems of elliptic differential inequalities on Riemannian manifolds”, Journal of Mathematical Analysis and Applications, 466:1 (2018), 426  crossref
    9. Yuhua Sun, “Absence of positive solutions to the system of differential inequalities on manifolds”, Journal of Mathematical Physics, 59:1 (2018)  crossref
    10. Yuhua Sun, “Absence of nonnegative solutions to the system of differential inequalities on manifolds”, Journal of Mathematical Analysis and Applications, 450:2 (2017), 901  crossref
    11. Sylwia Dudek, Iwona Skrzypczak, “Liouville theorems for elliptic problems in variable exponent spaces”, CPAA, 16:2 (2017), 513  crossref
    12. Yuhua Sun, “The absence of global positive solutions to semilinear parabolic differential inequalities in exterior domain”, Proc. Amer. Math. Soc., 145:8 (2017), 3455  crossref
    13. Y. Wang, J. Xiao, “A uniqueness principle for up ≤ (-Δ)α 2u in the Euclidean space”, Commun. Contemp. Math., 18:06 (2016), 1650019  crossref
    14. Yuzhao Wang, Jie Xiao, “A constructive approach to positive solutions of Δpu + f(u,∇u)≤0 on Riemannian manifolds”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 33:6 (2016), 1497  crossref
    15. Hui-Chun Zhang, “A Note on Liouville Type Theorem of Elliptic Inequality Δu + u σ ⩽ 0 on Riemannian Manifolds”, Potential Anal, 43:2 (2015), 269  crossref
    16. Tomasz Adamowicz, Przemysław Górka, “The Liouville theorems for elliptic equations with nonstandard growth”, CPAA, 14:6 (2015), 2377  crossref
    17. Yuhua Sun, “On the uniqueness of nonnegative solutions of differential inequalities with gradient terms on Riemannian manifolds”, Communications on Pure & Applied Analysis, 14:5 (2015), 1743  crossref
    18. Jia-Cheng Huang, “Liouville type theorem for quasi-linear elliptic inequalityΔpu+uσ⩽0on Riemannian manifolds”, Journal of Mathematical Analysis and Applications, 428:1 (2015), 12  crossref
    19. Yuhua Sun, “Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds”, Journal of Mathematical Analysis and Applications, 419:1 (2014), 643  crossref
    20. Alexander Grigor'yan, Yuhua Sun, “On Nonnegative Solutions of the Inequality Δ u + uσ ≤ 0 on Riemannian Manifolds”, Comm Pure Appl Math, 67:8 (2014), 1336  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:123
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025