Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems

Pavel Drábek; Alois Kufner

Acta Mathematica et Informatica Universitatis Ostraviensis (1994)

  • Volume: 02, Issue: 1, page 19-31
  • ISSN: 1804-1388

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Drábek, Pavel, and Kufner, Alois. "Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems." Acta Mathematica et Informatica Universitatis Ostraviensis 02.1 (1994): 19-31. <http://eudml.org/doc/23760>.

@article{Drábek1994,
author = {Drábek, Pavel, Kufner, Alois},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {weighted Sobolev spaces; singular elliptic differential operators; compactness; nonlinear boundary value problems; imbeddings; ordinary differential equations},
language = {eng},
number = {1},
pages = {19-31},
publisher = {University of Ostrava},
title = {Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems},
url = {http://eudml.org/doc/23760},
volume = {02},
year = {1994},
}

TY - JOUR
AU - Drábek, Pavel
AU - Kufner, Alois
TI - Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1994
PB - University of Ostrava
VL - 02
IS - 1
SP - 19
EP - 31
LA - eng
KW - weighted Sobolev spaces; singular elliptic differential operators; compactness; nonlinear boundary value problems; imbeddings; ordinary differential equations
UR - http://eudml.org/doc/23760
ER -

References

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  2. Deimling K., Nonlinear Functional Analysis, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985. (1985) Zbl0559.47040MR0787404
  3. Drábek P., Kufner A., The Hardy inequality and Birkhoff interpolation, To appear in Bayreuth. Math. Schriften. MR1285205
  4. Drábek P., Kufner A., Nicolosi F., On the solvability of degenerated quasilinear elliptic equations of higher order, To appear in Journal Differential Equations. MR1273306
  5. Kufner A., Higher order Hardy inequalities, Bayreuth. Math. Schriften 44 (1993), 105-146. (1993) Zbl0802.26006MR1224775
  6. Kufner A., Heinig H. P., Hardy's inequality for higher order derivatives, (Russian), Trudy Mat. Inst. Steklov 192 (1990), 105-113, (English translation: Proc. of the Steklov Inst. of Math. 1992, Issue 3, 113-121). (192) MR1097892
  7. Opic B., Kufneг A., How to define reasonably weighted Sobolev spaces, Comment. Math. Univ. Carolinae 25 (1984), 537-554. (1984) MR0775568
  8. Opic B., Kufner A., Hardy-type inequalities, Pitman Research Notes in Math. Series 219. Longman, Harlow, 1990. (1990) Zbl0698.26007MR1069756
  9. Stepanov V. D., Two-weighted estimates of Riemann-Liouville integrals, (Russian), Izv. Akad. Nauk SSSR Ser. Mat.54 3 (1990), 645-656, (English translation: Math. USSR Izvestiya 36 (1991), No. 3, 669-681). (1990) Zbl0705.26015MR1072699

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