On existence of the weak solution for non-linear partial differential equations of elliptic type

Jozef Kačur

Commentationes Mathematicae Universitatis Carolinae (1970)

  • Volume: 011, Issue: 1, page 137-181
  • ISSN: 0010-2628

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Kačur, Jozef. "On existence of the weak solution for non-linear partial differential equations of elliptic type." Commentationes Mathematicae Universitatis Carolinae 011.1 (1970): 137-181. <http://eudml.org/doc/16359>.

@article{Kačur1970,
author = {Kačur, Jozef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {partial differential equations},
language = {eng},
number = {1},
pages = {137-181},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On existence of the weak solution for non-linear partial differential equations of elliptic type},
url = {http://eudml.org/doc/16359},
volume = {011},
year = {1970},
}

TY - JOUR
AU - Kačur, Jozef
TI - On existence of the weak solution for non-linear partial differential equations of elliptic type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1970
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 011
IS - 1
SP - 137
EP - 181
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/16359
ER -

References

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  1. J. NEČAS, Sur la méthode variationnelle pour les équations aux dérivées partielles non linéaires du type elliptique; l'existence et la régularité des solutions, Comment. Math. Univ. Carolinee 7 (1966), 301-317. (1966) Zbl0151.15102MR0206470
  2. J. NEČAS, Les équations elliptiques non linéaires, Ľécole d'été, Tchécoslovaquie, 1967. Czech. Math. Journal 2 (1969), 252-274. (1967) MR0252829
  3. J. NEČAS, Les méthodes directes en théorie des équations elliptiques, Prague, 1967. (1967) 
  4. M. A. KRASNOSEL'SKIJ J. B. RUTICKIJ, Vypuklye funkcii i prostranstva Orliča, Moskva, 1958. (1958) 
  5. F. E. BROWDER, Problèmes non-linéaires, Séminaire de mathématiques supérieures. Montréal, 1966. (1966) Zbl0153.17302MR0250140
  6. F. E. BROWDER, Vaгiational methods foг non-linear elliptic eigenvalue problems, Bull. Amer. Math. Soc. 71 (1965), 178-183. (1965) MR0179459
  7. J. LERAY J. L. LIONS, Quelques résultats de Višik sur les problèmes elliptiques linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France 93 (1965), 97-107. (1965) MR0194733
  8. M. M. VAJNBERG, Variacionnyje metody issledovanija nelinejnych operatorov, Moskva, 1956. (1956) 
  9. J. SERRIN, On the definition and properties of certain variational integrals, Trans. Amer. Math. Soc. 101 (1961), 139-167. (1961) Zbl0102.04601MR0138018
  10. M. I. VIŠIK, O razrešimosti pervoj krajevoj zadači dlia kvazilinejnych uravnenij s bystro rastuščimi koeficientami v klasach Orliča, Dokl. AN SSSR 151 (1963), 758-761. (1963) 

Citations in EuDML Documents

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  1. Miloslav Feistauer, Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially symmetric channels
  2. Jozef Kačur, On existence of the weak solution for non-linear partial differential equations of elliptic type. II.
  3. Jozef Kačur, Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order
  4. Jozef Kačur, A generalized maximum principle and estimates of max vrai u for nonlinear parabolic boundary value problems

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