On L p -estimates for solutions of elliptic boundary value problems

Miroslav Krbec

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 2, page 363-375
  • ISSN: 0010-2628

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Krbec, Miroslav. "On $L^p$-estimates for solutions of elliptic boundary value problems." Commentationes Mathematicae Universitatis Carolinae 017.2 (1976): 363-375. <http://eudml.org/doc/16759>.

@article{Krbec1976,
author = {Krbec, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {363-375},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On $L^p$-estimates for solutions of elliptic boundary value problems},
url = {http://eudml.org/doc/16759},
volume = {017},
year = {1976},
}

TY - JOUR
AU - Krbec, Miroslav
TI - On $L^p$-estimates for solutions of elliptic boundary value problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 2
SP - 363
EP - 375
LA - eng
UR - http://eudml.org/doc/16759
ER -

References

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  1. S. AGMON A. DOUGLIS L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math. 12 (1959), 623-727. (1959) MR0125307
  2. J. L. LIONS E. MAGENES, Problèmes aux limites non homogènes et applications, Dunod, Paris, 1968. (1968) 
  3. N. G. MEYERS, An L p -estimate for the gradient of solutions of second order elliptic divergence equations., Ann. Scuola Nom. Sup. Pisa 17 (1963), 189-206. (1963) MR0159110
  4. J. NEČAS, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. (1967) MR0227584
  5. J. NEČAS, Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d’ordre 2 k en deux dimensions, Ann. Scuola Norm. Sup. Pisa 21 (1967), 427-457. (1967) Zbl0171.09401MR0226467
  6. M. SCHECHTER, Coerciveness in L p , Trans. Amer. Math. Soc. 107 (1963), 10-29. (1963) MR0146690
  7. L. N. SLOBODĚCKIJ, Estimates in L p of solutions of elliptic systems, (Russian), Dokl. Akad. Nauk SSSR 123 (1958), 616-619. (1958) MR0106327
  8. A. ZYGMUND, Trigonometrical series, Cambridge, 1959. (1959) 

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