Recherches sur les fonctions polyharmoniques
Annales scientifiques de l'École Normale Supérieure, Série 3, Tome 52 (1935), pp. 183-220.
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     author = {Nicolesco, Miron},
     title = {Recherches sur les fonctions polyharmoniques},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {183--220},
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     volume = {3e s{\'e}rie, 52},
     year = {1935},
     doi = {10.24033/asens.848},
     zbl = {0013.20603},
     language = {fr},
     url = {https://www.numdam.org/articles/10.24033/asens.848/}
}
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Nicolesco, Miron. Recherches sur les fonctions polyharmoniques. Annales scientifiques de l'École Normale Supérieure, Série 3, Tome 52 (1935), pp. 183-220. doi : 10.24033/asens.848. https://www.numdam.org/articles/10.24033/asens.848/
  • Bajunaid, Ibtesam Biharmonic functions on Schrödinger networks, Rendiconti del Circolo Matematico di Palermo Series 2, Volume 73 (2024) no. 3, p. 1277 | DOI:10.1007/s12215-023-00979-0
  • Liu, Congwen; Perälä, Antti; Si, Jiajia Weighted integrability of polyharmonic functions in the higher-dimensional case, Analysis PDE, Volume 14 (2021) no. 7, p. 2047 | DOI:10.2140/apde.2021.14.2047
  • Turmetov, Batirkhan; Karachik, Valery, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, Volume 2365 (2021), p. 060002 | DOI:10.1063/5.0057206
  • Karachik, V. V.; Turmetov, B. Kh., PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’19), Volume 2172 (2019), p. 030002 | DOI:10.1063/1.5133491
  • Popivanov, Petar, RENEWABLE ENERGY SOURCES AND TECHNOLOGIES, Volume 2161 (2019), p. 030028 | DOI:10.1063/1.5127493
  • Abatangelo, Nicola; Jarohs, Sven; Saldaña, Alberto Integral representation of solutions to higher-order fractional Dirichlet problems on balls, Communications in Contemporary Mathematics, Volume 20 (2018) no. 08, p. 1850002 | DOI:10.1142/s0219199718500025
  • Kounchev, Ognyan; Render, Hermann A symmetry property for polyharmonic functions vanishing on equidistant hyperplanes, Mathematische Nachrichten, Volume 290 (2017) no. 7, p. 1087 | DOI:10.1002/mana.201500378
  • Petrache, Mircea; Van Schaftingen, Jean Controlled Singular Extension of Critical Trace Sobolev Maps from Spheres to Compact Manifolds, International Mathematics Research Notices (2016), p. rnw109 | DOI:10.1093/imrn/rnw109
  • Floater, Michael S. A generalized mean value property for polyharmonic functions, Numerical Algorithms, Volume 73 (2016) no. 1, p. 157 | DOI:10.1007/s11075-015-0090-7
  • Łysik, G. A characterization of polyharmonic functions, Acta Mathematica Hungarica, Volume 147 (2015) no. 2, p. 386 | DOI:10.1007/s10474-015-0551-4
  • Ekincioglu, Ismail; Sayan, Hasan H.; Keskin, Cansu High order Riesz transforms and mean value formula for generalized translate operator, Journal of Inequalities and Applications, Volume 2014 (2014) no. 1 | DOI:10.1186/1029-242x-2014-148
  • Kounchev, Ognyan; Render, Hermann Polyharmonic functions of infinite order on annular regions, Tohoku Mathematical Journal, Volume 65 (2013) no. 2 | DOI:10.2748/tmj/1372182722
  • Łysik, Grzegorz On the mean value property for polyharmonic functions, Acta Mathematica Hungarica, Volume 133 (2011) no. 1-2, p. 133 | DOI:10.1007/s10474-011-0138-7
  • Render, Hermann Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions, Duke Mathematical Journal, Volume 142 (2008) no. 2 | DOI:10.1215/00127094-2008-008
  • Bejancu, A.; Kounchev, O.I.; Render, H. Cardinal interpolation with periodic polysplines on strips, Calcolo, Volume 44 (2007) no. 4, p. 203 | DOI:10.1007/s10092-007-0137-9
  • Meleshko, VV Selected topics in the history of the two-dimensional biharmonic problem, Applied Mechanics Reviews, Volume 56 (2003) no. 1, p. 33 | DOI:10.1115/1.1521166
  • Bajunaid, I.; Anandam, V. Biharmonic extensions in Riemannian manifolds, Hiroshima Mathematical Journal, Volume 30 (2000) no. 1 | DOI:10.32917/hmj/1206124765
  • Nakai, Mitsuru; Tada, Toshimasa A form of classical Liouville theorem for polyharmonic functions, Hiroshima Mathematical Journal, Volume 30 (2000) no. 2 | DOI:10.32917/hmj/1206124683
  • Mizuta, Yoshihiro Boundary limits of polyharmonic functions in sobolev-orlicz spaces, Complex Variables, Theory and Application: An International Journal, Volume 27 (1995) no. 2, p. 117 | DOI:10.1080/17476939508814810
  • Strunkov, S. P.; Parshin, A. N.; Sprindzhuk, V. G.; Dolgachev, I. V.; Gorchakov, Yu. M.; Malyshev, A. V.; Rakhmanov, E. A.; Lavrik, A. F.; Rozov, N. Kh.; Solomentsev, E. D.; Shtern, A. I.; Fedoryuk, M. V.; Kim, G. D.; Brychkov, Yu. A.; Prudnikov, A. P.; Babich, V. M.; Gulin, A. V.; Nikulin, M. S.; Sokolov, D. D.; Popov, V. L.; Arkhangelskiĭ, A. V.; Lumiste, Ü.; Alekseevskiĭ, D. V.; Kotov, V. E.; Kuptsov, L. P.; Il’in, V. A.; Bogdanov, Yu. S.; Davidenko, D. F.; Goluzina, E. G.; Korbut, A. A.; Popov, V. I.; Starzhinskiĭ, V. M.; Alimov, Sh. A.; Proknorov, A. V.; Kudryavtsev, L. D.; Prokhorov, A. V.; Afanas’ev, V. V.; Ikramov, Kh. D.; Plisko, V. E.; Kopytov, V. M.; Skornyakov, L. A.; Davydov, Yu. M.; Sidorov, L. A.; Modenov, P. S.; Parkhomenko, A. S.; Nechaev, V. I.; Bogatyĭ, S. A.; Kol’tsov, P. P.; Krechet, V. G.; Mints, G. E.; Voĭtsekhovskiĭ, M. I.; Bukhshtab, A. A.; Karmanov, V. G.; Il’yashenko, Yu. S.; Kuz’min, L. V.; Arkhangel’skiĭ, A. V.; Sazonov, V. V.; Stepanov, S. A.; Zalgaller, V. A.; Ovseevich, A. I.; Millionshchikov, V. M.; Shevrin, L. N.; Zhurbenko, I. G.; Sklyarenko, E. G.; Tarakanov, V. E.; Mikheev, V. M.; Kaluzhnin, L. A.; Supruneko, D. A.; Minlos, R. A.; Khvedelidze, B. V.; Suprunenko, U. A.; Lukashenko, T. P.; Reĭzin’, L. E.; Bogolyubov, N. N.; Onishchik, A. L.; Ivanov, A. B.; Sobolev, V. I.; Kvasnikov, I. A.; Latyshev, V. I.; Danilov, V. I.; Shokurov, V. V.; Chernavskiĭ, A. V.; Golubov, B. I.; Zarkhin, Yu. G.; Lizorkin, P. I.; van de Craats, J.; Lenskiĭ, V. S.; Sabitov, I. Kh.; Fomenko, A. T.; Korneva, L. A.; Anosov, D. V.; Kulikov, Vik. S.; Rumyantsev, V. V.; Rudyak, Yu. B.; Soldatov, A. P.; D’yakonov, E. G.; Sevast’yanov, B. A.; Volkov, I. I.; Lomonosov, V. I.; Shul’man, V. S.; Kulikov, V. S.; Shmel’kin, A. L.; Merzlyakov, Yu. I.; Matveev, S. V.; Vinberg, E. B.; Markushevich, A. I.; Korneĭchuk, N. P.; Motornyĭ, V. P.; Kharshiladze, A. F.; Shtan’ko, M. A.; Kurzhanskiĭ, A. B.; Nikol’skiĭ, N. K.; Pavlov, B. S.; Malygin, S. N.; Postnikov, M. M.; Aleksandrov, P. S.; Dolzhenko, E. P.; Konyushkov, A. A.; Vorob’ev, N. N.; Lyapunov, A. N.; Schul’man, V. S.; Sobolev, S. K.; Kudryavtsev, B. V.; Maslov, S. Yu.; Rozenberg, G.; Salomaa, A.; Adyan, S. I.; Solomentsev, E. V.; Prilenko, A. I.; Fabrikant, V. I.; Fofanova, T. S.; Kokorin, A. I.; Dragalin, A. G.; Grishin, V. N.; Shiryaev, A. N.; Chirka, E. M.; Markov, V. T.; Ivanova, O. A.; Zhevlakov, K. A.; Bredikhin, B. M.; Artemov, S. N.; Chudakov, N. G.; Shikin, E. V.; Shchekut’ev, A. R.; Voskresenskiĭ, V. E.; Remeslennikov, V. N.; Bokut’, L. A.; Dezin, A. A.; Smirnov, D. M.; Ereshko, F. I.; Fedorov, V. V.; Dushskiĭ, V. A.; Palamodov, V. P.; Kolmogorov, A. N.; Prokhorov, Yu. V.; Petrov, V. V.; Yurinskiĭ, V. V.; Ershov, A. P.; Bol’shev, L. N.; Kreĭn, S. G.; Tsalenko, M. Sh.; Kas’yanov, V. N.; Levner, E. V.; Vaĭnikko, G. M.; Ponomarev, V. I.; Norden, A. P.; Shirokov, A. P.; Govorov, V. E.; Kirillov, A. A.; El’kin, A. G.; Mazurov, V. D.; Kuzichev, A. S.; Mal’tsev, A. A.; Polyakov, V. Z.; Arknangel’skiĭ, A. V.; Shubin, M. A.; Petrosyan, L. A. P, Encyclopaedia of Mathematics (1995), p. 307 | DOI:10.1007/978-1-4899-3791-9_4
  • Mizuta, Yoshihiro A theorem of Hardy-Littlewood and removability for polyharmonic functions satisfying Hölder's condition, Hiroshima Mathematical Journal, Volume 25 (1995) no. 1 | DOI:10.32917/hmj/1206127833
  • Janßen, Klaus; Müller, Hans-Helge Choquet-Type Integral Representation of Polyexcessive Functions, Classical and Modern Potential Theory and Applications (1994), p. 293 | DOI:10.1007/978-94-011-1138-6_25
  • Janssen, K. Choquet-type integral representation of polysupermedian measures, Potential Analysis, Volume 3 (1994) no. 4, p. 359 | DOI:10.1007/bf01049808
  • Obolashvili, E. Nonlocal problems for some partial differential equations, Complex Variables, Theory and Application: An International Journal, Volume 19 (1992) no. 1-2, p. 71 | DOI:10.1080/17476939208814560
  • Hazewinkel, Michiel P, Encyclopaedia of Mathematics (1991), p. 55 | DOI:10.1007/978-94-015-1237-4_2
  • Mizuta, Yoshihiro On the boundary limits of polyharmonic functions in a half space, Kodai Mathematical Journal, Volume 7 (1984) no. 2 | DOI:10.2996/kmj/1138036905
  • Coroi-Nedelcu, Mariana On the theory of liniar equations with spatial derivatives, Function Theoretic Methods for Partial Differential Equations, Volume 561 (1976), p. 150 | DOI:10.1007/bfb0087633
  • Edenhofer, J. Integraldarstellung einer m‐polyharmonischen Funktion, deren Funktionswerte und erste m‐1 Normalableitungen auf einer Hypersphäre gegeben sind, Mathematische Nachrichten, Volume 68 (1975) no. 1, p. 105 | DOI:10.1002/mana.19750680108
  • Edenhofer, J. Eine Integraldarstellung der Lösung der Dirichletschen Aufgabe bei der Polypotentialgleichung im Falle einer Hyperkugel, Mathematische Nachrichten, Volume 69 (1975) no. 1, p. 149 | DOI:10.1002/mana.19750690115
  • Chezeaux, Mme Michèle Ecoulement à travers un milieu poreux isotrope, Rheological Theories · Measuring Techniques in Rheology Test Methods in Rheology · Fractures Rheological Properties of Materials · Rheo-Optics · Biorheology (1975), p. 71 | DOI:10.1007/978-3-662-41458-3_13
  • Zalcman, Lawrence Mean values and differential equations, Israel Journal of Mathematics, Volume 14 (1973) no. 4, p. 339 | DOI:10.1007/bf02764713
  • Chezeaux, M. Ecoulement à travers un milieu poreux isotrope, Rheologica Acta, Volume 12 (1973) no. 2, p. 155 | DOI:10.1007/bf01635096
  • Walter, Wolfgang Verallgemeinerte Laplace-Operatoren und Potentiale, Mathematische Zeitschrift, Volume 67 (1957) no. 1, p. 38 | DOI:10.1007/bf01258840
  • Süray, Saffet On the analytic functions of order 𝑛 (application to the plane elasticity), Quarterly of Applied Mathematics, Volume 15 (1957) no. 3, p. 283 | DOI:10.1090/qam/89253
  • Shapiro, Victor L. Circular summability 𝐶 of double trigonometric series, Transactions of the American Mathematical Society, Volume 76 (1954) no. 2, p. 223 | DOI:10.1090/s0002-9947-1954-0061688-7
  • Cheng, Min-Teh On a theorem of Nicolesco and generalized Laplace operators, Proceedings of the American Mathematical Society, Volume 2 (1951) no. 1, p. 77 | DOI:10.1090/s0002-9939-1951-0041292-x

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