On positive solutions of semilinear elliptic problems

Pavol Quittner

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 3, page 579-585
  • ISSN: 0010-2628

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Quittner, Pavol. "On positive solutions of semilinear elliptic problems." Commentationes Mathematicae Universitatis Carolinae 030.3 (1989): 579-585. <http://eudml.org/doc/17770>.

@article{Quittner1989,
author = {Quittner, Pavol},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilinear equations; positive solution; Dirichlet problem},
language = {eng},
number = {3},
pages = {579-585},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On positive solutions of semilinear elliptic problems},
url = {http://eudml.org/doc/17770},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Quittner, Pavol
TI - On positive solutions of semilinear elliptic problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 3
SP - 579
EP - 585
LA - eng
KW - semilinear equations; positive solution; Dirichlet problem
UR - http://eudml.org/doc/17770
ER -

References

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  1. Brézis H., Problèmes unilatéraux, J. Math, pures et appl. 51 (1972), 1-168. (1972) MR0428137
  2. Brézis H., Turner R. E. L., On a class of supcrlincar elliptic problems, Comm. in P. D. E. 2 (1977), 601-814. (1977) MR0509489
  3. Castro A., Non-negative solutions for non-positone problems, ICTP preprint SMR 281/16. 
  4. Crandall M. G., Rabinowitz P. H., Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems, Arch. Rational Mech. Anal. 58 (1975), 207-218. (1975) Zbl0309.35057MR0382848
  5. De Figueiredo D. G., Positive solutions of semilinear elliptic problems, In Differential equations, Springer Lecture Notes 957 (1982). (1982) Zbl0506.35038MR0679140
  6. Lions P.-L., On the existence of positive solutions of semilinear elliptic equations, SIAM Review 24 (1982), 441-467. (1982) Zbl0511.35033MR0678562
  7. Ramaswamy M., On the global set of solutions of a nonlinear ODE: theoretical and numerical description, J. Diff. Equations 65 (1986), 1-48. (1986) Zbl0597.34014MR0859471
  8. Smoller J., Wasserman A., Existence of positive solutions for semilinear elliptic equations in general domains, Arch. Rational Mech. Anal. 98 (1987), 229-249. (1987) Zbl0664.35029MR0867725
  9. Szulkin A., Minimax principles for lower semi continuous functions and applications to nonlinear boundary value problems, Ann. Inst. Henri Poincaré 3 (1986), 77-109. (1986) MR0837231

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