Strongly nonlinear elliptic boundary value problems

H. Brézis; F. E. Browder

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 3, page 587-603
  • ISSN: 0391-173X

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Brézis, H., and Browder, F. E.. "Strongly nonlinear elliptic boundary value problems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.3 (1978): 587-603. <http://eudml.org/doc/83794>.

@article{Brézis1978,
author = {Brézis, H., Browder, F. E.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {strongly nonlinear elliptic boundary value problems; Leray-Lions conditions; growth restriction; sign condition; existence and uniqueness; null Dirichlet boundary conditions},
language = {eng},
number = {3},
pages = {587-603},
publisher = {Scuola normale superiore},
title = {Strongly nonlinear elliptic boundary value problems},
url = {http://eudml.org/doc/83794},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Brézis, H.
AU - Browder, F. E.
TI - Strongly nonlinear elliptic boundary value problems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 3
SP - 587
EP - 603
LA - eng
KW - strongly nonlinear elliptic boundary value problems; Leray-Lions conditions; growth restriction; sign condition; existence and uniqueness; null Dirichlet boundary conditions
UR - http://eudml.org/doc/83794
ER -

References

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  1. [1] H. Brézis, Equations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Institut Fourier (Grenoble), 18 (1968), pp. 115-175. Zbl0169.18602MR270222
  2. [2] H. Brézis, Integrates convexes dans les espaces de Sobolev, Israel Jour. Math., 13 (1972), pp. 9-23. Zbl0249.46017MR341077
  3. [3] F.E. Browder, Existence theory for boundary value problems for quasilinear elliptic systems with strongly lower order terms, Proc. Symposia in Pure Mathematics, vol. 23, American Mathematical Society, Providence, R. I. (1971), pp. 269-286. Zbl0265.35035MR340815
  4. [4] F.E. Browder, Pseudo-monotone' operators and nonlinear elliptic boundary value problems on unbounded domains, Proc. Nat. Acad. Sci., 74 (1977), pp. 2659-2661. Zbl0358.35034MR445124
  5. [5] D.E. Edmunds - V.B. Moscatelli - J.L.R. Webb, Strongly nonlinear elliptic operators in unbounded domains, Publications Math. de l'Dniversité Bordeaux I, 4 (1974), pp. 5-32. Zbl0399.47053
  6. [6] P. Hess, A strongly nonlinear elliptic boundary value problem, Jour. Math. Analysis and Appl., 43 (1973), pp. 241-249. Zbl0267.35039MR318670
  7. [7] P. Hess, On nonlinear mappings of monotone type with respect to two Banach spaces, Jour. math. pure et appl., 52 (1973), pp. 13-26. Zbl0222.47019MR636418
  8. [8] P. Hess, Variational inequalities for strongly nonlinear elliptic operators, Jour. Math. pure et appl., 52 (1973), pp. 285-298. Zbl0259.47050MR336057
  9. [9] I. Natanson, Theory of functions of a real variable, Ungar, New York, vol. 1 (1955). Zbl0064.29102MR67952
  10. [10] C.G. Simader, Über schwache Losungen des Dirichletproblems für streng nichtlineäre Differentialgleichungen, Math. Zeitschrift, 150 (1976), pp. 1-26. Zbl0354.35039MR420001
  11. [11] J.R.L. Webb, On the Dirichlet problem for strongly nonlinear elliptic operators in unbounded domains, Jour. London Math. Soc., II Ser., 10 (1975), pp. 163-170. Zbl0316.35037MR393836

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