On the iterative construction of a solution of nonlinear elliptic boundary value problems

Walter Petry

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 3, page 479-492
  • ISSN: 0010-2628

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Petry, Walter. "On the iterative construction of a solution of nonlinear elliptic boundary value problems." Commentationes Mathematicae Universitatis Carolinae 013.3 (1972): 479-492. <http://eudml.org/doc/16512>.

@article{Petry1972,
author = {Petry, Walter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {479-492},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the iterative construction of a solution of nonlinear elliptic boundary value problems},
url = {http://eudml.org/doc/16512},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Petry, Walter
TI - On the iterative construction of a solution of nonlinear elliptic boundary value problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 3
SP - 479
EP - 492
LA - eng
UR - http://eudml.org/doc/16512
ER -

References

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  1. BROWDER F. E., Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862-874. (1963) Zbl0127.31901MR0156116
  2. BROWDER F. E., Nonlinear elliptic boundary value problems II, Trans. Amer. Math. Soc. 117 (1965), 530-550. (1965) Zbl0127.31903MR0173846
  3. BROWDER F. E., Existence theorems for nonlinear partial differential equations, Proc. Sympos. Pure Math., vol. 16, Amer. Math. Soc. Providence, R. I., 1970, 1-60. (1970) Zbl0211.17204MR0269962
  4. BROWDER F. R., Nonlinear elliptic boundary value problems and the generalized topological degree, Bull. Amer. Math. Soc. 76 (1970), 999-1005. (1970) Zbl0201.18401MR0264222
  5. DUBINSKII Yu. A., Quasilinear elliptic and parabolic equations of arbitrary order, Russian Math. Surveys 23 (1968), 45-91. (1968) MR0228826
  6. KOSELEV A. I., Convergence of the method of successive approximation for quasilinear elliptic equations, Soviet Math. Dokl. 3 (1962), 219-222. (1962) Zbl0125.05602
  7. KRATOCHVÍL A., Les méthodes approximatives de la solution des équations elliptiques non linéaires, Comment. Math. Univ. Caroline 9 (1968), 455-510. (1968) MR0240646
  8. LERAY J., LIONS J. L., Quelques résultats de VISIK sur les problèmes elliptiques non linéaires par les méthodes de MINTY-BROWDER, Bull. Soc. Math. France 93 (1965), 97-107. (1965) Zbl0132.10502MR0194733
  9. NEČAS J., Sur l'alternative de FREDHOLM pour les opérateurs non-linéaires avec applications aux problèmes aux limites, Ann. Scuola Norm. Sup. Pisa 23 (1969) 331-345. (1969) Zbl0187.08103MR0267430
  10. PETRY W., Iterative Lösung gewisser nichtlinearer Operatorgleichungen mit Anwendung auf quasilineare Differentialgleichungen, Aequationes Mathematicae 5 (1971), 16-38. (1971) MR0307465
  11. POHOŽAJEV S. I., The solvability of nonlinear equations with odd operators, Funct. Anal. Appl. 1 (1967), 66-73. (1967) 
  12. VIŠIK M. I., Boundary value problems for quasilinear strongly elliptic systems of divergent form, Dokl. Akad. Nauk SSSR 138 (1961), 18-521 (Russian). (1961) MR0150454
  13. VIŠIK M. I., Quasi-linear strongly elliptic systems of differential equations in divergence form, Trudy Moskov. Mat. Obsc. 12 (1963), 125-184 (Russian), (1963) MR0156085

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