Existence theorems for operator equations and nonlinear elliptic boundary-value problems

Walter Petry

Commentationes Mathematicae Universitatis Carolinae (1973)

  • Volume: 014, Issue: 1, page 27-46
  • ISSN: 0010-2628

How to cite

top

Petry, Walter. "Existence theorems for operator equations and nonlinear elliptic boundary-value problems." Commentationes Mathematicae Universitatis Carolinae 014.1 (1973): 27-46. <http://eudml.org/doc/16541>.

@article{Petry1973,
author = {Petry, Walter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {27-46},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Existence theorems for operator equations and nonlinear elliptic boundary-value problems},
url = {http://eudml.org/doc/16541},
volume = {014},
year = {1973},
}

TY - JOUR
AU - Petry, Walter
TI - Existence theorems for operator equations and nonlinear elliptic boundary-value problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1973
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 014
IS - 1
SP - 27
EP - 46
LA - eng
UR - http://eudml.org/doc/16541
ER -

References

top
  1. H. BRÉZIS, Equations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier, Grenoble 18 (1968), 115-175. (1968) MR0270222
  2. F. E. BROWDER, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862-874. (1963) Zbl0127.31901MR0156116
  3. F. E. BROWDER, Existence theorems for nonlinear partial differential equations, "Global Analysis", Proc. Symposia Pure Math., Vol. XVI (held at the University of California, Berkeley, July 1-26, 1968), Amer. Math. Soc., Providence, Rhode Island 1970. (1968) MR0269962
  4. F. E. BROWDER, BUI AN TON, Nonlinear functional equations in Banach spaces and elliptic superregularization, Math. Zeitschr. 105 (1968), 177-195. (1968) MR0232256
  5. BUI AN TON, Pseudo-monotone operators in Banach spaces, and nonlinear elliptic equations, Math. Zeitschr. 111 (1971), 243-252. (1971) MR0293466
  6. M. A. KRASNOSELSKII, Topological methods in the theory of non-linear integral equations, GITTL, Moscow, 1956; English transl., Macmillan, New York 19641. (1956) MR0096983
  7. J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthier-Villars, Paris, 1969. (1969) Zbl0189.40603MR0259693
  8. J. LERAY J. L. LIONS, Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France 93 (1965), 97-107. (1965) MR0194733
  9. J. NEČAS, Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites, Estr. dagli Ann. délia Scuola Norm. Sup. Pisa, Cl. di Scienze 23 (1969), Fasc. II, 331-345. (1969) Zbl0187.08103MR0267430
  10. J. NEČAS, Les équations elliptiques non linéaires, Czechoslovak Math. J. 19 (94) (1969), 252-274. (1969) MR0252829
  11. W. PETRY, Existence theorems for a class of nonlinear operator equations, J. Math. Anal. Appl. (in print). Zbl0264.47042MR0344958
  12. W. PETRY, Generalized Hammerstein equation and integral equation of Hammerstein type Zbl0274.47034
  13. M. I. VIŠIK, Boundary value problems for quasilinear strongly elliptic systems of divergent form, Soviet Math. Dokl. 2 (1961), 643-647. (1961) 
  14. M. I. VIŠIK, Solvability of the first boundary value problem for quasilinear equations with rapidly increasing coefficients in Orlicz spaces, Soviet Math. Dokl.4 (1963), 1060-1064. (1963) 
  15. M. I. VIŠIK, Quasi-linear strongly elliptic systems of differential equations in divergence form, Trans. Moscow Math. Soc. 12 (1963), 140-208. (1963) MR0156085
  16. P. P. ZABREIKO, The Schaefer method in the theory of Hammerstein Integral Equations, Math. USSR Sbornik 13 (1971), Nr. 3, 451-471. (1971) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.