| Title:
|
Some notes to an improbable anniversary (English) |
| Author:
|
Drábek, Pavel |
| Author:
|
Opic, Bohumír |
| Author:
|
Rákosník, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
375-382 |
| . |
| Category:
|
math |
| . |
| MSC:
|
01A65 |
| MSC:
|
01A70 |
| idZBL:
|
Zbl 0812.01036 |
| idMR:
|
MR1281032 |
| DOI:
|
10.21136/CMJ.1994.128466 |
| . |
| Date available:
|
2009-09-24T09:39:47Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128466 |
| . |
| Reference:
|
[1] : On the dependence of the solution of the Dirichlet problem on the change of the domain of definition.Apl. Mat. 6 (1961), 263–273. (Russian) MR 0132839 |
| Reference:
|
[2] : Über Sobolevsche Räume mit Belegungsfunktion und das Dirichletsche Problem.Comment. Math. Univ. Carolinae 6 (1965), 105–110. MR 0174962 |
| Reference:
|
[3] : Einige Eigenschaften der Sobolevschen Räume mit Belegungsfunktion.Czechoslovak Math. J. 15 (90) (1965), 597–620. MR 0193500 |
| Reference:
|
[4] : Lösungen des Dirichletschen Problems für elliptische Differentialgleichungen in Räumen mit Belegungsfunktionen.Czechoslovak Math. J. 15 (90) (1965), 621–633. Zbl 0148.35603, MR 0193373 |
| Reference:
|
[5] : On the solution of the mixed problem (together with J. Kadlec).Comment. Math. Univ. Carolinae 7 (1966), 75–84. MR 0197978 |
| Reference:
|
[6] : On some properties of weighted classes (together with O. V. Besov and J. Kadlec).Dokl. Akad. Nauk SSSR 171 (1966), 514–516, English translation: Soviet Math. Dokl. 7 (1966), 1497–1499. (Russian) MR 0204842 |
| Reference:
|
[7] : Characterization of functions with zero traces by integrals with weight functions I (together with J. Kadlec).Časopis Pěst. Mat. 91 (1966), 463–471. MR 0212559 |
| Reference:
|
[8] : Characterization of functions with zero traces by integrals with weight functions II (together with J. Kadlec).Časopis Pěst. Mat. 92 (1967), 16–28. MR 0215081 |
| Reference:
|
[9] : On the density of smooth functions in spaces with weight functions (together with O. V. Besov).Czechoslovak Math. J. 18 (93) (1968), 178–188. (Russian) MR 0223877 |
| Reference:
|
[10] : Imbedding theorems for general Sobolev weight spaces.Ann. Scuola Norm. Sup. Pisa, Cl. Sci. 23 (1969), no. 2, 373–386. Zbl 0198.46205, MR 0253038 |
| Reference:
|
[11] : Solution of the Dirichlet problem in Sobolev spaces with general weight function (together with B. Opic).Trudy Sem. S. L. Sobolev (1976), no. 2, Novosibirsk, 35–48. (Russian) |
| Reference:
|
[12] : On a generalization of Hardy’s inequality (together with H. Triebel).Trudy Sem. S. L. Sobolev (1978), no. 1, Novosibirsk, 61–68. (Russian) |
| Reference:
|
[13] : Generalizations of the Hardy inequality (together with H. Triebel).Conf. Sem. Mat. Univ. Bari 156 (1978), 21. |
| Reference:
|
[14] : A remark on imbedding theorems for Sobolev weight spaces: The case of a domain with hölderian boundary.J. Reine Angew. Math. 309 (1979), 114–126. Zbl 0406.46028, MR 0542042 |
| Reference:
|
[15] : Nichtlineare partielle Differentialgleichungen und spezielle Funktionenräume.Wiss. Z. Karl-Marx-Univ. Leipzig – Naturwiss. R. 29 (1980), 59–64. Zbl 0434.35045, MR 0570643 |
| Reference:
|
[16] : Boudary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces (together with J. Rákosník).Časopis Pěst. Mat. 106 (1981), 170–185. |
| Reference:
|
[17] : Some imbeddings for weighted Sobolev spaces (together with B. Opic).Constructive Function Theory 1981, Sofia, 1983, pp. 400–407. MR 0729902 |
| Reference:
|
[18] : The Dirichlet problem and weighted spaces I (together with B. Opic).Časopis Pěst. Mat. 108 (1983), 381–408. MR 0727537 |
| Reference:
|
[19] : Weighted Sobolev spaces and the $N$-dimensional Hardy inequality (together with B. Opic).Trudy Sem. S. L. Sobolev (1983), no. 1, Novosibirsk, 108–117. (Russian) |
| Reference:
|
[20] : How to define reasonably weighted Sobolev spaces (together with B. Opic).Comment. Math. Univ. Carolinae 25 (1984), 537–554. MR 0775568 |
| Reference:
|
[21] : Linear elliptic boundary value problems and weighted Sobolev spaces: A modified approach (together with J. Rákosník).Math. Slovaca 34 (1984), 185–197. MR 0744953 |
| Reference:
|
[22] : Some inequalities in weighted Sobolev spaces (together with B. Opic).Constructive Theory of Functions 1984, Sofia, 1984, pp. 644–648. |
| Reference:
|
[23] : Embeddings of Sobolev spaces with weights of power type (together with D. E. Edmunds and J. Rákosník).Z. Anal. Anwend. 4 (1985), 25–34. MR 0787397 |
| Reference:
|
[24] : The Neumann problem in weighted Sobolev spaces (together with J. Voldřich).C. R. Math. Rep. Acad. Sci. Canada 7 (1985), no. 4, 239–243. MR 0802321 |
| Reference:
|
[25] : The Dirichlet problem and weighted spaces II (together with B. Opic).Časopis Pěst. Mat. 111 (1986), 242–253. MR 0853789 |
| Reference:
|
[26] : Variations on the theme of the inequality... (together with V. Maz’ja).Manuscripta Math. 56 (1986), 89–104. MR 0846988 |
| Reference:
|
[27] : Remarks on compactness of imbeddings in weighted spaces (together with B. Opic).Math. Nachr. 133 (1987), 63–70. MR 0912420, 10.1002/mana.19871330105 |
| Reference:
|
[28] : Precise imbedding theorems for a class of Sobolev weight spaces (together with B. Opic, I. V. Skrypnik and V. P. Stecjuk).Dop. AN USSR Ser. A (1988), 21–25, English translation: Dokl. Akad. Nauk USSR Ser. A (1988), 22–26. (Russian) |
| Reference:
|
[29] : A note on a two-weighted Sobolev inequality (together with P. Gurka).Approximation and Functions Spaces., Banach Center Publications, Vol. 22, Warsaw, 1989, pp. 169–172. MR 1097190 |
| Reference:
|
[30] : Fractional integrals on spaces of homogeneous type (together with V. M. Kokilašvili).Comment. Math. Univ. Carolinae 30 (1989), no. 3, 511–523. MR 1031869 |
| Reference:
|
[31] : Hardy inequality for higher order derivatives (together with H.-P. Heinig).Trudy Mat. Inst. Steklov 192 (1990), 105–113, English translation: Proc. Steklov Inst. Math. 1992, Issue 3, 113–121. (Russian) MR 1097892 |
| Reference:
|
[32] : Extensions of functions in weighted Sobolev spaces (together with D. E. Edmunds and J. Sun).Rend. Accad. Naz. Sci., Mem. Mat. 108 (1990), no. 14, 17, 327–339. MR 1106583 |
| Reference:
|
[33] : Some remarks on the Hardy inequality for higher order derivatives (together with A. Wannebo).General Inequalities Vol. VI, Birkhäuser, 1992, pp. 33–48. MR 1212994 |
| Reference:
|
[34] : Higher order Hardy inequalities.Bayreuth. Math. Schriften 44 (1993), 105–146. Zbl 0802.26006, MR 1224775 |
| Reference:
|
[35] : Weighted Friedrichs inequalities in amalgams (together with H.-P. Heinig).43 (118) (1993) (to appear), 286–308. MR 1211751 |
| Reference:
|
[36] : Some remarks concerning the Hardy inequality.Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte Math. 133, B. G. Teubner Verlagsgesellschaft, Stuttgart-Leipzig, 1993, pp. 290–294. Zbl 0794.46021, MR 1242592 |
| Reference:
|
[37] : On the solvability of degenerated quasilinear elliptic equations of higher order (together with P. Drábek and F. Nicolosi).(to appear). |
| Reference:
|
[38] : Solvability of degenerate elliptic boundary problems: Another approach (together with S. Leonardi).(to appear). |
| Reference:
|
[39] : Hardy inequality of fractional order via interpolation (together with L. E. Perrson).(to appear). |
| Reference:
|
[40] : Weak solutions of degenerated quasilinear elliptic equations of higher order (together with P. Drábek and F. Nicolosi).Submitted to Diff. Int. Equations. |
| Reference:
|
[41] : Growth properties of Sobolev space functions over unbounded domains (together with J. Appell, O. Jong Guk and P. P. Zabrejko).Submitted to Annali Univ. Ferrara. |
| Reference:
|
[42] : On the two-dimensional Hardy operator in Lebesgue spaces with mixed norms (together with J. Appell).Submitted to Analysis. |
| Reference:
|
[43] : Function spaces (together with O. John and S. Fučík).Academia, Praha a Noordhoff, Leyden, 1977, pp. 454. |
| Reference:
|
[44] : Nonlinear Differential Equations (together with S. Fučík).SNTL, Praha, 1978, pp. 344, (English translation: Elsevier, Amsterdam-Oxford-New York 1980, 359 pp. Russian translation: Mir, Moscow 1988, 304 pp.). (Czech) |
| Reference:
|
[45] : Weighted Sobolev spaces.Teubner-Texte Math. 31, Teubner, Leipzig, 1980, pp. 152, (2nd edition: Wiley, Chichester 1985, 116). Zbl 0463.46025, MR 0664599 |
| Reference:
|
[46] : Some applications of weighted Sobolev spaces (together with A.-M. Sändig).Teubner-Texte Math. 100, Teubner, Leipzig, 1987, pp. 250. MR 0926688 |
| Reference:
|
[47] : Hardy-type inequalities (together with B. Opic).Pitman Research Notes in Mathematics Series 119, Longman Scientific and Technical, Essex, 1990, pp. 333. MR 1069756 |
| Reference:
|
[48] : Weight characterization of functions with zero traces.Abstracts of brief communications, Section 5, ICM Moscow, 1966, pp. 17–18. |
| Reference:
|
[49] : Application of general weight spaces to the solution of boundary value problems.Proceedings of the 3$^{\text{rd}}$ Soviet-Czech Symposium (May 1971)., Novosibirsk, 1972, pp. 127–134. (Russian) MR 0372417 |
| Reference:
|
[50] : On oner type of nonlinear equations.Proceedings of the 5$^{\text{th}}$ Soviet-Czechoslovak Symposium, (Alma Ata, October 1976), Novosibirsk, 1978, pp. 170–173. (Russian) |
| Reference:
|
[51] : On some type of nonlinear equations.Theory of Nonlinear Operators, Abhandlungen der AdW der DDR, Nr. 6N, 1978, pp. 375–376, (Summer School, Berlin 1977). Zbl 0434.35044 |
| Reference:
|
[52] : Function spaces.Proceedings of a Summer School held in May-June 1977, Geofyzikální ústav ČSAV, Praha, 1987, pp. 45–59. Zbl 0789.46054, MR 0541734 |
| Reference:
|
[53] : Some modifications of Sobolev spaces and nonlinear boundary value problems.Equadiff IV, Proceedings, Prague 1977, Lecture Notes in Math. 703, Springer, Berlin-HeidelbergNew York, 1979, pp. 213–223. MR 0535342 |
| Reference:
|
[54] : Solution of degenerate linear and nonlinear elliptic equations in weighted Sobolev spaces.Proceedings of the 7$^{\text{th}}$ Soviet-Czechoslovak Symposium, Jerewan 1982, Jerewan University Press, Jerewan, 1982, pp. 192–197. (Russian) |
| Reference:
|
[55] : Zur Hardyschen Ungleichung.Seminar Analysis 1982/1983, IMath., Berlin, 1983, pp. 1–18. Zbl 0543.26007, MR 0738478 |
| Reference:
|
[56] : Some remarks to the definition of weighted Sobolev spaces (together with B. Opic).In the proceedings of the conference “Partial differential equations”, Nauka, Novosibirsk, 1986, pp. 120–126. (Russian) |
| Reference:
|
[57] : Boundary value problems in weighted spaces.Equadiff 6. Lecture Notes in Math. No. 192, Springer, Berlin-Heidelberg-New York-Tokyo, 1986, pp. 35–48. Zbl 0627.46032, MR 0877105 |
| Reference:
|
[58] : Solution of nonlinear boundary value problems in weighted Sobolev spaces.Problems and Methods of Mathematical Physics, 9. TMP, Karl-Marx-Stadt 1988. Teubner-Texte Math., Teubner, Leipzig, 1989, pp. 130–137. Zbl 0707.46022, MR 1087315 |
| Reference:
|
[59] : Weighted Sobolev spaces and nonlinear boundary problems.Function Spaces, Differential Operators and Nonlinear Analysis, Sodankylä 1988, L. Päivärinta (ed.), Longman Scientific and Technical, Essex, 1989, pp. 255–270. |
| Reference:
|
[60] : Higher order Hardy inequalities.Function Spaces, Poznań, 1992, to appear, pp. 12. |
| Reference:
|
[61] : Fourier Series (together with J. Kadlec).Academia, Praha, 1969, pp. 346, (English translation to appear in World Scientific, Singapore, 1994). (Czech) MR 0270045 |
| Reference:
|
[62] : Czech-Russian Mathematical Dictionary (together with 10 co-authors).Moscow, 1971, pp. 273. |
| Reference:
|
[63] : Geometry of Hilbert Space.SNTL, Praha, 1973, pp. 245. (Czech) Zbl 0381.46013 |
| Reference:
|
[64] : Functions Spaces I. Integrable Functions (together with S. Fučík and O. John).SPN, Praha, 1974, pp. 171. (Czech) |
| Reference:
|
[65] : Function Spaces II. Smooth Functions (together with A. Doktor and M. Kučera).SPN, Praha, 1975, pp. 176. (Czech) |
| Reference:
|
[66] : Applied Mathematics (A to L) (member of a team of authors).SNTL, Praha, 1977, pp. 1124, Applied Mathematics (M to Z) (member of a team of authors)), SNTL, Praha, 1978, 1248 pp.. (Czech) |
| Reference:
|
[67] : Nonlinear Analysis, Function Spaces and Applications.Proceedings of a Spring School, Horní Bradlo 1978, editor (together with S. Fučík), Teubner-Texte Math. 19, Teubner, Leipzig, 1979, pp. 224. Zbl 0399.00003, MR 0578906 |
| Reference:
|
[68] : Boundary Value Problems for Ordinary Differential Equations (together with S. Míka).SNTL, Praha, 1981, pp. 88 (2nd edition: SNTL, Praha 1983). (Czech) |
| Reference:
|
[69] : Nonlinear Analysis, Functions Spaces and Applications, Vol. 2.Proceedings of a Spring School, Písek 1982, editor (together with O. John), Teubner-Texte Math. 49, Teubner, Leipzig, 1982, pp. 268. MR 0684995 |
| Reference:
|
[70] : Ordinary Differential Equations.Škoda, Plzeň, 1982, pp. 119. (Czech) Zbl 0900.34009 |
| Reference:
|
[71] : Partial Differential Equations I. Stationary Equations (together with S. Míka).SNTL, Praha, 1983, pp. 181. (Czech) |
| Reference:
|
[72] : Foundations of the Calculus of Variations and Functional Analysis.Škoda, Plzeň, 1983, pp. 132. (Czech) |
| Reference:
|
[73] : Nonlinear Analysis, Functions Spaces and Applications, Vol. 3.Proceedings of a Spring School, Litomyšl 1986, editor (together with M. Krbec and J. Rákosník) Teubner-Texte Math. 93, Teubner, Leipzig, 1986, pp. 145. MR 0921239 |
| Reference:
|
[74] : Nonlinear Analysis, Functions Spaces and Applications, Vol. 4.Proceedings of a Spring School, Roudnice n. L. 1990, editor (together with M. Krbec, B. Opic and J. Rákosník) Teubner-Texte Math. 119, Teubner, Leipzig, 1990, pp. 256. MR 1151429 |
| Reference:
|
[75] : Ordinary Differential Equations.Západočeská univerzita, Plzeň, 1993, pp. 159. Zbl 1103.00300 |
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