Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems

Petronije S. Milojević

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 4, page 735-750
  • ISSN: 0010-2628

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Milojević, Petronije S.. "Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems." Commentationes Mathematicae Universitatis Carolinae 028.4 (1987): 735-750. <http://eudml.org/doc/17586>.

@article{Milojević1987,
author = {Milojević, Petronije S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {noncoercive operators of type (M); convergence of the approximated solutions; nonlinearity; noncoercive problems; semilinear elliptic boundary value problems},
language = {eng},
number = {4},
pages = {735-750},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems},
url = {http://eudml.org/doc/17586},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Milojević, Petronije S.
TI - Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 4
SP - 735
EP - 750
LA - eng
KW - noncoercive operators of type (M); convergence of the approximated solutions; nonlinearity; noncoercive problems; semilinear elliptic boundary value problems
UR - http://eudml.org/doc/17586
ER -

References

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  4. A. Bahri P. L. Lions, Remarques sur la théorie variationnelle des points critiques et applications, C. R. Acad. Sc. Paris, t. 301, Serie I, (1985), 145-147. (1985) MR0801948
  5. H. Brezis F. E. Browder, Some properties of higher order Sobolev spaces, J. Math. Pures Appl, 61 (1982), 245-259. (1982) MR0690395
  6. H. Brezis L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), 437-477. (1983) MR0709644
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  8. F. E. Browder, Degree of mapping for nonlinear mappings of monotone type, Proc. Nat. Acad. Sci. USA, 180 (1983), 2408-2409. (1983) Zbl0533.47052MR0700933
  9. P. Hess, On nonlinear mappings of monotone type with respect to two Banach spaces, J. Math. Pures Appl., 52 (1973), 13-16. (1973) Zbl0222.47019MR0636418
  10. T. Kato, Locally coercive nonlinear equations with applications to some periodic solutions, Duke Math. J., 51 (1984), 923-936. (1984) Zbl0571.47051MR0771388
  11. S. Kesavan, Existence of solutions by the Galerkin method for a class of nonlinear problems, Applicable Anal., 16 (1983), 279-290. (1983) Zbl0507.35030MR0718535
  12. R. Landes V. Mustonen, Boundary value problems of strongly nonlinear second order elliptic equations, Bollettino U.M.I., (6) 4 - B (1985), 33-55. (1985) MR0783329
  13. P. L. Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Review, 24 (1982), 441-467. (1982) Zbl0511.35033MR0678562
  14. P. S. Milojevid, Solvability of some semilinear equations with strong nonlinearities-I, II, Abstracts AMS, 85T-47-16, (January 1985); 85T-47-264 (October 1985). (1985) 
  15. J. Moser, A rapidly convergent iteration method and non-linear partial differential equations-I, Ann. Scouola Normale Supp. Pisa, 20 (1966), 265-315. (1966) Zbl0144.18202MR0199523
  16. P. H. Rabinowitz, A rapid convergence method for a singular perturbation problem, Ann. Inst. Henri Poincaré, Analyse nonlinéaire, 1 (1984), 1-17. (1984) Zbl0547.35047MR0738493
  17. J. R. L. Webb, Boundary value problems of strongly nonlinear elliptic equations, J. London Math. Soc, (2) 21 (1980), 123-132. (1980) MR0576188

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