On the existence of Schauder bases in Sobolev spaces

Svatopluk Fučík; Oldřich John; Jindřich Nečas

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 1, page 163-175
  • ISSN: 0010-2628

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Fučík, Svatopluk, John, Oldřich, and Nečas, Jindřich. "On the existence of Schauder bases in Sobolev spaces." Commentationes Mathematicae Universitatis Carolinae 013.1 (1972): 163-175. <http://eudml.org/doc/16482>.

@article{Fučík1972,
author = {Fučík, Svatopluk, John, Oldřich, Nečas, Jindřich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {163-175},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of Schauder bases in Sobolev spaces},
url = {http://eudml.org/doc/16482},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Fučík, Svatopluk
AU - John, Oldřich
AU - Nečas, Jindřich
TI - On the existence of Schauder bases in Sobolev spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 1
SP - 163
EP - 175
LA - eng
UR - http://eudml.org/doc/16482
ER -

References

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  1. N. DUNFORD J. T. SCHWARTZ, Linear operators I, (Russian translation, Moscow 1962). (1962) MR0216303
  2. D. G. de FIGUEIREDO, Topics in nonlinear functional analysis, Lecture Series No. 48, University of Maryland 1967. (1967) 
  3. S. FUČÍK, Fredholm alternative for nonlinear operator in Banach spaces and its applications to the differential and integral equations, Čas. pro pěst. mat. 96 (1971), 371-390. (1971) MR0326502
  4. S. FUČÍK J. MILOTA, On the convergence of sequences of linear operators and adjoint operators, Comment. Math. Univ. Carolinae 12 (1971), 753-763. (1971) MR0290130
  5. S. FUČÍK J. NEČAS, Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems, Math. Nachr. (to appear). MR0333863
  6. W. B. JOHNSON H. P. ROSENTHAL M. ZIPPIN, On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel Journ. Math. (to appear). MR0280983
  7. M. A. KRASNOSELSKIJ J. B. RUTICKIJ, Vypuklyje funkcii i prostranstva Orliča, Moskva 1958. (1958) 
  8. J. LINDENSTRAUSS A. PELCZYNSKI, Absolutely summing operators in L p spaces and their applications, Studia Math. 29 (1968), 275-326. (1968) MR0231188
  9. J. LINDENSTRAUSS H. P. ROSENTHAL, The p spaces, Israel Journ. Matht 7 (1969), 325-343. (1969) MR0270119
  10. J. L. LIONS E. MAGENES, Problemi al limiti non omogenei (V), Ann. Scuola Norm. Sup. Pisa XVI (1962), 1-44. (1962) MR0146527
  11. E. A. MICHAEL A. PELCZYNSKI, Separable Banach spaces which admit l n approximations, Israel Journ. Math. 4 (1966), 189-198. (1966) MR0211247
  12. J. NEČAS, Les méthodes directes en théorie des équations élliptiques, Academia, Prague, 1967. (1967) MR0227584
  13. S. M. NIKOLSKIJ, Približennyje funkcii mnogich peremennych i teoremy vloženija, Moskva 1969. (1969) 
  14. Ch. G. SIMADER, Eine Verallgemeinerung der Gardingschen Ungleichung und eine darauf aufbauende - Theorie des Dirichletschen Randwertproblems, Inaugural-Dissertation, Ludwig-Maxmilians Universität München, September 1968. (1968) 
  15. M. SCHECHTER, On L p estimates and regularity, I., Amer. Journ. Math. LXXXV (1963), 1-13. (1963) Zbl0131.09505MR0188615

Citations in EuDML Documents

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  1. Svatopluk Fučík, Dien Hien Tran, Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations
  2. Elves A. B. Silva, Magda S Xavier, Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
  3. Svatopluk Fučík, Спектральный анализ нелинейных операторов
  4. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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