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Russian Mathematical Surveys, 1963, Volume 18, Issue 1, Pages 1–62
DOI: https://doi.org/10.1070/RM1963v018n01ABEH004124
(Mi rm6301)
 

This article is cited in 55 scientific papers (total in 55 papers)

Some problems of the qualitative theory of second order elliptic equations (case of several independent variables)

E. M. Landis
Received: 06.07.1962
Bibliographic databases:
Document Type: Article
Language: English
Original paper language: Russian
Citation: E. M. Landis, “Some problems of the qualitative theory of second order elliptic equations (case of several independent variables)”, Russian Math. Surveys, 18:1 (1963), 1–62
Citation in format AMSBIB
\Bibitem{Lan63}
\by E.~M.~Landis
\paper Some problems of the qualitative theory of second order elliptic equations (case of several independent variables)
\jour Russian Math. Surveys
\yr 1963
\vol 18
\issue 1
\pages 1--62
\mathnet{http://mi.mathnet.ru/eng/rm6301}
\crossref{https://doi.org/10.1070/RM1963v018n01ABEH004124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=150437}
\zmath{https://zbmath.org/?q=an:0125.05802}
Linking options:
  • https://www.mathnet.ru/eng/rm6301
  • https://doi.org/10.1070/RM1963v018n01ABEH004124
  • https://www.mathnet.ru/eng/rm/v18/i1/p3
    Erratum
    • Corrections
      Uspekhi Mat. Nauk, 1963, 18:4(112), 241–242
    This publication is cited in the following 55 articles:
    1. Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack inequality for solutions of the p(x)-Laplace equation under the precise non-logarithmic Zhikov's conditions”, Calc. Var., 63:1 (2024)  crossref
    2. E. B. Laneev, A. V. Klimishin, “O priblizhennom reshenii nekorrektno postavlennoi smeshannoi kraevoi zadachi dlya uravneniya Laplasa v tsilindricheskoi oblasti s odnorodnymi usloviyami vtorogo roda na bokovoi poverkhnosti tsilindra”, Vestnik rossiiskikh universitetov. Matematika, 29:146 (2024), 164–175  mathnet  crossref
    3. Ihor Skrypnik, Maria Savchenko, Yevgeniia Yevgenieva, “Weak Harnack inequality for unbounded solutions to the p(x)-Laplace equation under the precise non-logarithmic conditions”, Proc. IAMM NASU, 37 (2023), 48  crossref
    4. Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition”, UMB, 20:1 (2023), 124  crossref
    5. Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition”, J Math Sci, 273:3 (2023), 427  crossref
    6. S. T. Krymskiǐ, N. D. Filonov, “On the rate of decrease at infinity of solutions to the Schrödinger equation in a half-cylinder”, St. Petersburg Math. J., 34:1 (2023), 79–92  mathnet  crossref  mathscinet
    7. D. E. Apushkinskaya, A. I. Nazarov, “The normal derivative lemma and surrounding issues”, Russian Math. Surveys, 77:2 (2022), 189–249  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. Igor I. Skrypnik, “Harnack's inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov's condition”, J. Evol. Equ., 22:2 (2022)  crossref
    9. Bendikov A. Grigor'yan A. Hu E. Hu J., “Heat Kernels and Non-Local Dirichlet Forms on Ultrametric Spaces”, Ann. Scuola Norm. Super. Pisa-Cl. Sci., 22:1 (2021), 399–461  isi
    10. Carlos Kenig, Jiuyi Zhu, “Propagation of Smallness in Elliptic Periodic Homogenization”, SIAM J. Math. Anal., 53:1 (2021), 111  crossref
    11. Tynysbek Sh. Kalmenov, Makhmud A. Sadybekov, Berikbol T. Torebek, “A criterion of solvability of the elliptic Cauchy problem in a multi-dimensional cylindrical domain”, Complex Variables and Elliptic Equations, 64:3 (2019), 398  crossref
    12. Alexander Logunov, “Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure”, Ann. of Math. (2), 187:1 (2018)  crossref
    13. A. I. Ibragimov, A. I. Nazarov, “On Phragmén — Lindelöf principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions”, Matematicheskaya fizika i kompyuternoe modelirovanie, 20:3 (2017), 65–76  mathnet  crossref
    14. S. V. Pikulin, “Convergence of a family of solutions to a Fujita-type equation in domains with cavities”, Comput. Math. Math. Phys., 56:11 (2016), 1872–1900  mathnet  crossref  crossref  isi  elib
    15. Gabor Lippner, Dan Mangoubi, “Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness”, Duke Math. J., 164:13 (2015)  crossref
    16. Zhang Songyan, “Three-sphere inequalities for second order singular partial differential equations”, Acta Mathematica Scientia, 30:3 (2010), 993  crossref
    17. Xiangxing Tao, “Quantitative unique continuation for Neumann problems of elliptic equations with weight”, Math Meth Appl Sci, 2009, n/a  crossref
    18. Herbert Koch, Daniel Tataru, “Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients”, Communications in Partial Differential Equations, 34:4 (2009), 305  crossref
    19. Sergio Vessella, “Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates”, Inverse Probl, 24:2 (2008), 023001  crossref  mathscinet  zmath  isi
    20. A. A. Kon'kov, “The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives”, Izv. Math., 71:1 (2007), 15–51  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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