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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 283, Pages 9–24
DOI: https://doi.org/10.1134/S037196851304002X (Mi tm3516) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Entire solutions of quasilinear elliptic systems on Carnot groups

Lorenzo D'Ambrosioa, Enzo Mitidierib

a Dipartimento di Matematica, Università degli Studi di Bari, Bari, Italy
b Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, Trieste, Italy
Full-text PDF (255 kB) Citations (13)
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DOI: https://doi.org/10.1134/S037196851304002X
Abstract: We prove general a priori estimates of the solutions of a class of quasilinear elliptic systems on Carnot groups. As a consequence, we obtain several nonexistence theorems. The results are new even in the Euclidean setting.
Received in September 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 283, Pages 3–19
DOI: https://doi.org/10.1134/S0081543813080026
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Lorenzo D'Ambrosio, Enzo Mitidieri, “Entire solutions of quasilinear elliptic systems on Carnot groups”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 9–24; Proc. Steklov Inst. Math., 283 (2013), 3–19
Citation in format AMSBIB
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\pages 9--24
\publ MAIK Nauka/Interperiodica
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  • https://www.mathnet.ru/eng/tm/v283/p9
    • This publication is cited in the following 13 articles:
    1. A.A. Kon'kov, A.E. Shishkov, “On blow-up conditions for solutions of a class of second-order elliptic inequalities”, Journal of Mathematical Analysis and Applications, 2025, 129330  crossref
    2. A. A. Kon'kov, A. E. Shishkov, “On global solutions of second-order quasilinear elliptic inequalities”, Math. Notes, 116:5 (2024), 1014–1019  mathnet  crossref  crossref
    3. Umberto Guarnotta, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, 2849, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, 2023, 340006  crossref
    4. Bing Wang, Hui-Chun Zhang, “Liouville theorems for semilinear differential inequalities on sub-Riemannian manifolds”, Journal of Functional Analysis, 285:5 (2023), 110007  crossref
    5. Guarnotta U., Marano S.A., Moussaoui A., “Singular Quasilinear Convective Elliptic Systems in Double-Struck Capital R-N”, Adv. Nonlinear Anal., 11:1 (2022), 741–756  crossref  mathscinet  isi
    6. Mei-qiang Feng, “A Class of Singular Coupled Systems of Superlinear Monge-Ampère Equations”, Acta Math. Appl. Sin. Engl. Ser., 38:4 (2022), 925  crossref
    7. Feng M., “Convex Solutions of Monge-Ampere Equations and Systems: Existence, Uniqueness and Asymptotic Behavior”, Adv. Nonlinear Anal., 10:1 (2021), 371–399  crossref  mathscinet  isi
    8. D'Ambrosio L., Mitidieri E., “On Some Multicomponent Quasilinear Elliptic Systems”, J. Math. Anal. Appl., 490:1 (2020), 124207  crossref  mathscinet  isi
    9. Santos C.A., Alves R.L., Reis M., Zhou J., “Maximal Domains of the (Lambda,Mu)-Parameters to Existence of Entire Positive Solutions For Singular Quasilinear Elliptic Systems”, J. Fixed Point Theory Appl., 22:3 (2020), 54  crossref  mathscinet  isi
    10. Biswas A., “Liouville Type Results For Systems of Equations Involving Fractional Laplacian in Exterior Domains”, Nonlinearity, 32:6 (2019), 2246–2268  crossref  mathscinet  isi
    11. L. D'Ambrosio, E. Mitidieri, “Quasilinear elliptic systems in divergence form associated to general nonlinearities”, Adv. Nonlinear Anal., 7:4 (2018), 425–447  crossref  mathscinet  zmath  isi  scopus
    12. M. Ferrara, G. M. Bisci, D. Repovs, “Nonlinear elliptic equations on Carnot groups”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 111:3 (2017), 707–718  crossref  mathscinet  zmath  isi  scopus
    13. L. D'Ambrosio, “A new critical curve for a class of quasilinear elliptic systems”, Nonlinear Anal.-Theory Methods Appl., 78 (2013), 62–78  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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