Kuznetsov, N. Inverse mean value properties (a survey). (English. Russian original) Zbl 07528256 J. Math. Sci., New York 262, No. 3, 275-290 (2022); translation from Probl. Mat. Anal. 115, 41-53 (2022). MSC: 31Bxx 35Jxx 31Axx PDF BibTeX XML Cite \textit{N. Kuznetsov}, J. Math. Sci., New York 262, No. 3, 275--290 (2022; Zbl 07528256); translation from Probl. Mat. Anal. 115, 41--53 (2022) Full Text: DOI OpenURL
Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D. Asymptotic mean-value formulas for solutions of general second-order elliptic equations. (English) Zbl 07506817 Adv. Nonlinear Stud. 22, No. 1, 118-142 (2022). MSC: 35J60 35D40 PDF BibTeX XML Cite \textit{P. Blanc} et al., Adv. Nonlinear Stud. 22, No. 1, 118--142 (2022; Zbl 07506817) Full Text: DOI OpenURL
Kuznetsov, Nikolay Characterization of balls via solutions of the modified Helmholtz equation. (English) Zbl 1477.35077 C. R., Math., Acad. Sci. Paris 359, No. 8, 945-948 (2021). MSC: 35J05 35J15 PDF BibTeX XML Cite \textit{N. Kuznetsov}, C. R., Math., Acad. Sci. Paris 359, No. 8, 945--948 (2021; Zbl 1477.35077) Full Text: DOI arXiv OpenURL
Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D. A nonlinear mean value property for the Monge-Ampère operator. (English) Zbl 1466.35235 J. Convex Anal. 28, No. 2, 353-386 (2021). MSC: 35J96 PDF BibTeX XML Cite \textit{P. Blanc} et al., J. Convex Anal. 28, No. 2, 353--386 (2021; Zbl 1466.35235) Full Text: arXiv Link OpenURL
Cupini, Giovanni; Lanconelli, Ermanno Stability of the mean value formula for harmonic functions in Lebesgue spaces. (English) Zbl 1461.35013 Ann. Mat. Pura Appl. (4) 200, No. 3, 1149-1174 (2021). MSC: 35B05 31B05 35J05 PDF BibTeX XML Cite \textit{G. Cupini} and \textit{E. Lanconelli}, Ann. Mat. Pura Appl. (4) 200, No. 3, 1149--1174 (2021; Zbl 1461.35013) Full Text: DOI OpenURL
Cupini, Giovanni; Lanconelli, Ermanno; Fusco, Nicola; Zhong, Xiao A sharp stability result for the Gauss mean value formula. (English) Zbl 1465.31001 J. Anal. Math. 142, No. 2, 587-603 (2020). Reviewer: Stefano Biagi (Milano) MSC: 31B05 PDF BibTeX XML Cite \textit{G. Cupini} et al., J. Anal. Math. 142, No. 2, 587--603 (2020; Zbl 1465.31001) Full Text: DOI OpenURL
Bucur, Claudia; Dipierro, Serena; Valdinoci, Enrico On the mean value property of fractional harmonic functions. (English) Zbl 1448.35016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 201, Article ID 112112, 25 p. (2020). MSC: 35B05 35R11 35J05 35R30 34A08 PDF BibTeX XML Cite \textit{C. Bucur} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 201, Article ID 112112, 25 p. (2020; Zbl 1448.35016) Full Text: DOI arXiv OpenURL
Armstrong, Niles Properties of mean value sets: angle conditions, blowup solutions, and nonconvexity. (English) Zbl 1437.35202 Potential Anal. 52, No. 3, 527-544 (2020). MSC: 35J15 PDF BibTeX XML Cite \textit{N. Armstrong}, Potential Anal. 52, No. 3, 527--544 (2020; Zbl 1437.35202) Full Text: DOI arXiv OpenURL
Armstrong, Niles; Blank, Ivan Nondegenerate motion of singular points in obstacle problems with varying data. (English) Zbl 1441.35108 J. Differ. Equations 267, No. 9, 5370-5387 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35J20 35J15 58J05 PDF BibTeX XML Cite \textit{N. Armstrong} and \textit{I. Blank}, J. Differ. Equations 267, No. 9, 5370--5387 (2019; Zbl 1441.35108) Full Text: DOI arXiv OpenURL
Cupini, Giovanni; Lanconelli, Ermanno Densities with the mean value property for sub-Laplacians: an inverse problem. (English) Zbl 1372.31010 Chanillo, Sagun (ed.) et al., Harmonic analysis, partial differential equations and applications. In honor of Richard L. Wheeden. Basel: Birkhäuser/Springer (ISBN 978-3-319-52741-3/hbk; 978-3-319-52742-0/ebook). Applied and Numerical Harmonic Analysis, 109-124 (2017). Reviewer: Dov Aharonov (Haifa) MSC: 31B05 35H20 PDF BibTeX XML Cite \textit{G. Cupini} and \textit{E. Lanconelli}, in: Harmonic analysis, partial differential equations and applications. In honor of Richard L. Wheeden. Basel: Birkhäuser/Springer. 109--124 (2017; Zbl 1372.31010) Full Text: DOI Link OpenURL
Onodera, Michiaki On the symmetry in a heterogeneous overdetermined problem. (English) Zbl 1310.35182 Bull. Lond. Math. Soc. 47, No. 1, 95-100 (2015). MSC: 35N25 31B20 31B05 35J25 35B06 PDF BibTeX XML Cite \textit{M. Onodera}, Bull. Lond. Math. Soc. 47, No. 1, 95--100 (2015; Zbl 1310.35182) Full Text: DOI OpenURL
Lanconelli, Ermanno “Potato kugel” for sub-Laplacians. (English) Zbl 1272.31011 Isr. J. Math. 194, Part A, 277-283 (2013). Reviewer: Brett Wick (Atlanta) MSC: 31C12 PDF BibTeX XML Cite \textit{E. Lanconelli}, Isr. J. Math. 194, Part A, 277--283 (2013; Zbl 1272.31011) Full Text: DOI OpenURL
Freitas, Pedro; Matos, João Palhoto On the characterization of harmonic and subharmonic functions via mean-value properties. (English) Zbl 1187.31003 Potential Anal. 32, No. 2, 189-200 (2010). Reviewer: Dagmar Medková (Praha) MSC: 31B05 31A05 PDF BibTeX XML Cite \textit{P. Freitas} and \textit{J. P. Matos}, Potential Anal. 32, No. 2, 189--200 (2010; Zbl 1187.31003) Full Text: DOI arXiv OpenURL
Dalmasso, Robert On the mean value property of superharmonic and subharmonic functions. (English) Zbl 1147.31002 Int. J. Math. Math. Sci. 2006, No. 2, Article ID 57340, 3 p. (2006). Reviewer: Vasile Ionescu (Bucureşti) MSC: 31B05 PDF BibTeX XML Cite \textit{R. Dalmasso}, Int. J. Math. Math. Sci. 2006, No. 2, Article ID 57340, 3 p. (2006; Zbl 1147.31002) Full Text: DOI EuDML OpenURL
Suzuki, Noriaki; Watson, Neil A. A characterization of heat balls by a mean value property for temperatures. (English) Zbl 0969.31006 Proc. Am. Math. Soc. 129, No. 9, 2709-2713 (2001). Reviewer: S.J.Gardiner (Dublin) MSC: 31C05 35K05 PDF BibTeX XML Cite \textit{N. Suzuki} and \textit{N. A. Watson}, Proc. Am. Math. Soc. 129, No. 9, 2709--2713 (2001; Zbl 0969.31006) Full Text: DOI OpenURL
Iwasaki, K. Polytopes and the mean value property. (English) Zbl 0872.39014 Discrete Comput. Geom. 17, No. 2, 163-189 (1997). Reviewer: J.Aczel (Waterloo/Ontario) MSC: 39B22 26B05 26C05 28A25 35G15 PDF BibTeX XML Cite \textit{K. Iwasaki}, Discrete Comput. Geom. 17, No. 2, 163--189 (1997; Zbl 0872.39014) Full Text: DOI OpenURL
Bruna, Joaquim; Detraz, Jacqueline A converse of the volume-mean-value property for invariantly harmonic functions. (English) Zbl 0816.31003 Proc. Am. Math. Soc. 122, No. 4, 1029-1034 (1994). Reviewer: S.J.Gardiner (Dublin) MSC: 31C05 32A99 PDF BibTeX XML Cite \textit{J. Bruna} and \textit{J. Detraz}, Proc. Am. Math. Soc. 122, No. 4, 1029--1034 (1994; Zbl 0816.31003) Full Text: DOI OpenURL
Hansen, Wolfhard; Netuka, I. Inverse mean value property of harmonic functions. (English) Zbl 0794.31001 Math. Ann. 297, No. 1, 147-156 (1993). Reviewer: W.Hansen (Bielefeld) MSC: 31A05 31B05 26B15 PDF BibTeX XML Cite \textit{W. Hansen} and \textit{I. Netuka}, Math. Ann. 297, No. 1, 147--156 (1993; Zbl 0794.31001) Full Text: DOI EuDML OpenURL
Armitage, D. H.; Nelson, C. S. A harmonic quadrature formula characterizing open strips. (English) Zbl 0783.31002 Math. Proc. Camb. Philos. Soc. 113, No. 1, 147-151 (1993). Reviewer: N.A.Watson (Christchurch) MSC: 31B05 PDF BibTeX XML Cite \textit{D. H. Armitage} and \textit{C. S. Nelson}, Math. Proc. Camb. Philos. Soc. 113, No. 1, 147--151 (1993; Zbl 0783.31002) Full Text: DOI OpenURL
Gustafsson, Björn On quadrature domains and an inverse problem in potential theory. (English) Zbl 0745.31002 J. Anal. Math. 55, 172-216 (1990). Reviewer: V.Isakov (Wichita) MSC: 31B20 35R30 PDF BibTeX XML Cite \textit{B. Gustafsson}, J. Anal. Math. 55, 172--216 (1990; Zbl 0745.31002) Full Text: DOI OpenURL
Aharonov, Dov; Schiffer, M. M.; Zalcman, Lawrence Potato Kugel. (German) Zbl 0496.31006 Isr. J. Math. 40, 331-339 (1981). MSC: 31B20 83C99 PDF BibTeX XML Cite \textit{D. Aharonov} et al., Isr. J. Math. 40, 331--339 (1981; Zbl 0496.31006) Full Text: DOI OpenURL
Aharonov, Dov; Shapiro, Harold S. Domains on which analytic functions satisfy quadrature identities. (English) Zbl 0337.30029 J. Anal. Math. 30, 39-73 (1976). MSC: 30E20 30E25 30E05 30C35 PDF BibTeX XML Cite \textit{D. Aharonov} and \textit{H. S. Shapiro}, J. Anal. Math. 30, 39--73 (1976; Zbl 0337.30029) Full Text: DOI OpenURL