F. G. Avkhadiev, “Properties and applications of the distance functions on open sets
of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, 4, 87–92
2019
2.
F. G. Avkhadiev, “Conformally invariant inequalities in domains in Euclidean space”, Izv. RAN. Ser. Mat., 83:5 (2019), 3–26; Izv. Math., 83:5 (2019), 909–931
3.
F. G. Avkhadiev, “On extremal domains for integral inequalities in the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 6, 80–84
4.
F. G. Avkhadiev, “One-parameter monotone functionals connected with Stieltjes integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 4, 3–14
5.
F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Conformal invariants of hyperbolic planar domains”, Ufimsk. Mat. Zh., 11:2 (2019), 3–18; Ufa Math. J., 11:2 (2019), 3–18
2018
6.
F. G. Avkhadiev, “Integral inequalities of Hardy and Rellich in domains satisfying an exterior sphere condition”, Algebra i Analiz, 30:2 (2018), 18–44; St. Petersburg Math. J., 30:2 (2019), 161–179
7.
F. G. Avkhadiev, “Brezis–Marcus Problem and Its Generalizations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 153 (2018), 3–12
8.
F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “$L_p$-versions of one conformally invariant inequality”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 8, 88–92; Russian Math. (Iz. VUZ), 62:8 (2018), 76–79
9.
F. G. Avkhadiev, “On Rellich's inequalities in the Euclidean spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 8, 83–87; Russian Math. (Iz. VUZ), 62:8 (2018), 71–75
10.
F. G. Avkhadiev, “Rellich inequalities for polyharmonic operators in plane domains”, Mat. Sb., 209:3 (2018), 4–33; Sb. Math., 209:3 (2018), 292–319
2017
11.
F. G. Avkhadiev, “Conformally invariant inequalities”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 142 (2017), 28–41; Journal of Mathematical Sciences, 241:6 (2019), 672–685
12.
F. G. Avkhadiev, “The generalized Davies problem for polyharmonic operators”, Sibirsk. Mat. Zh., 58:6 (2017), 1205–1217; Siberian Math. J., 58:6 (2017), 932–942
13.
F. G. Avkhadiev, “Estimates of Hardy–Rellich constants for polyharmonic operators and their generalizations”, Ufimsk. Mat. Zh., 9:3 (2017), 8–17; Ufa Math. J., 9:3 (2017), 8–17
14.
F. G. Avkhadiev, P. L. Shabalin, “Conformal mappings of circular domains on finitely-connected non-Smirnov type domains”, Ufimsk. Mat. Zh., 9:1 (2017), 3–17; Ufa Math. J., 9:1 (2017), 3–17
2016
15.
F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Becker type univalence conditions for harmonic mappings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 11, 80–85; Russian Math. (Iz. VUZ), 60:11 (2016), 69–73
16.
F. G. Avkhadiev, “Rellich type inequalities in domains of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 1, 69–73; Russian Math. (Iz. VUZ), 60:1 (2016), 60–63
2015
17.
F. G. Avkhadiev, “Sharp constants in Hardy type inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 10, 61–65; Russian Math. (Iz. VUZ), 59:10 (2015), 53–56
18.
F. G. Avkhadiev, “Hardy type $L_p$-inequalities in $r$-close-to-convex domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 1, 84–88; Russian Math. (Iz. VUZ), 59:1 (2015), 71–74
19.
F. G. Avkhadiev, “Integral inequalities in domains of hyperbolic type and their applications”, Mat. Sb., 206:12 (2015), 3–28; Sb. Math., 206:12 (2015), 1657–1681
2014
20.
F. G. Avkhadiev, “A geometric description of domains whose Hardy constant is equal to 1/4”, Izv. RAN. Ser. Mat., 78:5 (2014), 3–26; Izv. Math., 78:5 (2014), 855–876
21.
F. G. Avkhadiev, B. S. Timergaliev, “Brunn–Minkowski type inequalities for conformal and Euclidean moments of domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, 5, 64–67; Russian Math. (Iz. VUZ), 58:5 (2014), 53–56
22.
F. G. Avkhadiev, I. K. Shafigullin, “Sharp estimates of Hardy constants for domains with special boundary properties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, 2, 69–73; Russian Math. (Iz. VUZ), 58:2 (2014), 58–61
23.
F. G. Avkhadiev, R. G. Nasibullin, “Hardy-type inequalities in arbitrary domains with finite inner radius”, Sibirsk. Mat. Zh., 55:2 (2014), 239–250; Siberian Math. J., 55:2 (2014), 191–200
2013
24.
F. G. Avkhadiev, “Families of domains with best possible Hardy constant”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 9, 59–63; Russian Math. (Iz. VUZ), 57:9 (2013), 49–52
25.
F. G. Avkhadiev, I. K. Shafigullin, “Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments”, Mat. Tr., 16:2 (2013), 3–12; Siberian Adv. Math., 24:3 (2014), 153–158
2012
26.
F. G. Avkhadiev, “Isoperimetric inequality for torsional rigidity in multidimensional domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 7, 45–49; Russian Math. (Iz. VUZ), 56:7 (2012), 39–43
2011
27.
F. G. Avkhadiev, “Sharp estimates for functions with a pole and a logarithmic singularity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 12, 71–75; Russian Math. (Iz. VUZ), 55:12 (2011), 58–62
28.
F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 9, 90–94; Russian Math. (Iz. VUZ), 55:9 (2011), 76–79
2007
29.
F. G. Avkhadiev, A. N. Chuprunov, “The probability of a successful allocation of ball groups by boxes”, Lobachevskii J. Math., 25 (2007), 3–7
2006
30.
F. G. Avkhadiev, “Hardy type inequalities in higher dimensions with explicit estimate of constants”, Lobachevskii J. Math., 21 (2006), 3–31
31.
F. G. Avkhadiev, “Hardy-Type Inequalities on Planar and Spatial Open Sets”, Tr. Mat. Inst. Steklova, 255 (2006), 8–18; Proc. Steklov Inst. Math., 255 (2006), 2–12
2005
32.
F. G. Avkhadiev, K.-J. Wirths, “Concave schlicht functions with bounded opening angle at infinity”, Lobachevskii J. Math., 17 (2005), 3–10
2004
33.
F. G. Avkhadiev, “New isoperimetric inequalities for moments of domains and torsional rigidity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 7, 3–11; Russian Math. (Iz. VUZ), 48:7 (2004), 1–9
2002
34.
F. G. Avkhadiev, K.-J. Wirths, “On the coefficient multipliers theorem of Hardy and Littlewood”, Lobachevskii J. Math., 11 (2002), 7–12
35.
F. G. Avkhadiev, D. V. Maklakov, “New Equations of Convolution Type Obtained by Replacing the Integral by Its Maximum”, Mat. Zametki, 71:1 (2002), 18–26; Math. Notes, 71:1 (2002), 17–24
2001
36.
F. G. Avkhadiev, R. G. Salahudinov, “Bilateral isoperimetric inequalities for boundary moments of plane domains”, Lobachevskii J. Math., 9 (2001), 3–5
1998
37.
F. G. Avkhadiev, “Solution of the generalized Saint Venant problem”, Mat. Sb., 189:12 (1998), 3–12; Sb. Math., 189:12 (1998), 1739–1748
1997
38.
F. G. Avkhadiev, L. A. Aksent'ev, G. G. Bilchenko, “Classes of univalent and multivalent Christoffel-Schwarz integrals and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 3, 64–67; Russian Math. (Iz. VUZ), 41:3 (1997), 63–66
1996
39.
F. G. Avkhadiev, I. R. Kayumov, “Estimates in the Bloch class and their generalizations”, Dokl. Akad. Nauk, 349:5 (1996), 583–585
40.
F. G. Avkhadiev, “Conformal mappings that satisfy the boundary condition of the
equality of metrics”, Dokl. Akad. Nauk, 347:3 (1996), 295–297
41.
F. G. Avkhadiev, A. M. Elizarov, “Sharp estimates for the solution of a variational inverse boundary value problem in a countably connected domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 3, 3–13; Russian Math. (Iz. VUZ), 40:2 (1996), 1–11
1995
42.
F. G. Avkhadiev, D. V. Maklakov, “An analytic method for constructing hydrofoil designs from a given
cavitation diagram”, Dokl. Akad. Nauk, 343:2 (1995), 195–197; Dokl. Math., 40:7 (1995), 356–358
1994
43.
F. G. Avkhadiev, S. B. Shabalina, “Zeros of coefficients of transformations and conditions for the solvability of inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 8, 3–10; Russian Math. (Iz. VUZ), 38:8 (1994), 1–9
44.
F. G. Avkhadiev, D. V. Maklakov, “A criterion for the solvability of the problem of constructing wing profiles based on a cavitation diagram”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 7, 3–12; Russian Math. (Iz. VUZ), 38:7 (1994), 1–10
45.
F. G. Avkhadiev, L. I. Shokleva, “Generalizations of a theorem of Beurling and their applications to inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 5, 80–83; Russian Math. (Iz. VUZ), 38:5 (1994), 78–81
1992
46.
F. G. Avkhadiev, “The Minkowski functional over ranges of values of the logarithm of the derivative, and univalence conditions”, Trudy Sem. Kraev. Zadacham, 27 (1992), 3–21
1991
47.
F. G. Avkhadiev, “Conditions for the univalence of the solution in problems of constructing wing profiles”, Trudy Sem. Kraev. Zadacham, 26 (1991), 3–19
1990
48.
F. G. Avkhadiev, “Metrics with variable density, and inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 25 (1990), 3–23
49.
F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Conditions for the univalence of solutions of applied inverse boundary value problems. II”, Trudy Sem. Kraev. Zadacham, 24 (1990), 14–38
50.
F. G. Avkhadiev, “Univalent solutions of inverse boundary value problems in hydro-aerodynamics”, Trudy Sem. Kraev. Zadacham, 24 (1990), 3–14
1989
51.
F. G. Avkhadiev, “Estimates in the Zygmund class and their application to boundary
value problems”, Dokl. Akad. Nauk SSSR, 307:6 (1989), 1289–1292; Dokl. Math., 40:1 (1990), 217–220
52.
F. G. Avkhadiev, “Admissible functionals in injectivity conditions for differentiable mappings of $n$-dimensional domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, 4, 3–12; Soviet Math. (Iz. VUZ), 33:4 (1989), 1–12
1987
53.
F. G. Avkhadiev, “Injectivity in the domain of open isolated mappings with given
boundary properties”, Dokl. Akad. Nauk SSSR, 292:4 (1987), 780–783
54.
F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Sufficient conditions for the finite-valence of analytic functions, and their applications”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 25 (1987), 3–121; J. Soviet Math., 49:1 (1990), 715–799
55.
F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Conditions for the univalence of solutions of applied inverse boundary value problems. I”, Trudy Sem. Kraev. Zadacham, 23 (1987), 6–24
1986
56.
F. G. Avkhadiev, L. A. Aksent'ev, “Achievements and problems in sufficient conditions for finite-valence of analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, 10, 3–16; Soviet Math. (Iz. VUZ), 30:10 (1986), 1–20
57.
F. G. Avkhadiev, S. R. Nasyrov, “Construction of a Riemann surface from its boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, 5, 3–11; Soviet Math. (Iz. VUZ), 30:5 (1986), 1–12
1985
58.
F. G. Avkhadiev, S. R. Nasyrov, “Necessary conditions for the existence of a Riemann surface with a given boundary”, Trudy Sem. Kraev. Zadacham, 22 (1985), 6–15
1984
59.
F. G. Avkhadiev, “An inverse boundary value problem for a function with singularities”, Trudy Sem. Kraev. Zadacham, 21 (1984), 5–19
1983
60.
F. G. Avkhadiev, “Some geometric inequalities and sufficient conditions for $p$-valence”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, 10, 3–12; Soviet Math. (Iz. VUZ), 27:10 (1983), 1–13
61.
F. G. Avkhadiev, “Method of locally homeomorphic extension in the theory of sufficient conditions for univalence”, Trudy Sem. Kraev. Zadacham, 20 (1983), 3–10
62.
F. G. Avkhadiev, “Univalence of mappings with given properties”, Trudy Sem. Kraev. Zadacham, 19 (1983), 3–14
1976
63.
F. G. Avkhadiev, N. B. Salimov, “Univalent solvability of the inverse problem of blast theory”, Trudy Sem. Kraev. Zadacham, 13 (1976), 24–29
64.
F. G. Avkhadiev, “Singular cases of the principle of correspondence of boundaries”, Trudy Sem. Kraev. Zadacham, 13 (1976), 13–23
1975
65.
F. G. Avkhadiev, “Sufficient conditions for the univalence of quasiconformal mappings”, Mat. Zametki, 18:6 (1975), 793–802; Math. Notes, 18:6 (1975), 1063–1067
66.
F. G. Avkhadiev, L. A. Aksent'ev, “The main results on sufficient cjnditions for an analytic function to be schlicht”, Uspekhi Mat. Nauk, 30:4(184) (1975), 3–60; Russian Math. Surveys, 30:4 (1975), 1–63
1974
67.
F. G. Avkhadiev, L. A. Aksent'ev, “Functions of the Bazilevic class in the disc and in an annulus”, Dokl. Akad. Nauk SSSR, 214:2 (1974), 241–244
68.
F. G. Avkhadiev, “Some univalent mappings of the half-plane”, Trudy Sem. Kraev. Zadacham, 11 (1974), 3–8
69.
F. G. Avkhadiev, “Sufficient conditions for univalence in nonconvex domains”, Sibirsk. Mat. Zh., 15:5 (1974), 963–971; Siberian Math. J., 15:5 (1974), 679–685
1973
70.
F. G. Avkhadiev, L. A. Aksent'ev, “The subordination principle in sufficient conditions for univalence”, Dokl. Akad. Nauk SSSR, 211:1 (1973), 19–22
71.
F. G. Avkhadiev, “On the weak and the strong problem of univalence in inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 10 (1973), 3–10
1972
72.
F. G. Avkhadiev, “Some sufficient conditions for the univalence of analytic functions”, Trudy Sem. Kraev. Zadacham, 9 (1972), 3–11
1971
73.
F. G. Avkhadiev, L. A. Aksent'ev, “Sufficient conditions for univalence of analytic functions”, Dokl. Akad. Nauk SSSR, 198:4 (1971), 743–746
74.
F. G. Avkhadiev, “Some sufficient conditions for the univalence of the solutions to applied inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 8 (1971), 3–11
1970
75.
F. G. Avkhadiev, “On sufficient conditions for the univalence of the solutions of inverse boundary value problems”, Dokl. Akad. Nauk SSSR, 190:3 (1970), 495–498
76.
F. G. Avkhadiev, “Conditions for the univalence of analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, 11, 3–13
77.
L. A. Aksent'ev, F. G. Avkhadiev, “A certain class of univalent functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, 10, 12–20
78.
F. G. Avkhadiev, “Application of the Schwarzian derivative for the study of the univalent solvability of inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 7 (1970), 78–80
79.
F. G. Avkhadiev, “Radii of convexity and close-to-convexity of certain integral representations”, Mat. Zametki, 7:5 (1970), 581–592; Math. Notes, 7:5 (1970), 350–357
1968
80.
F. G. Avkhadiev, V. N. Gaiduk, “An application of close-to-convex functions to inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1968, 6, 3–10
2014
81.
F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014), 173–176; Russian Math. Surveys, 69:3 (2014), 565–568