On the unique solvability of nonresonant elliptic equations

Pavol Quittner; Darko Žubrinić

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 2, page 301-306
  • ISSN: 0010-2628

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Quittner, Pavol, and Žubrinić, Darko. "On the unique solvability of nonresonant elliptic equations." Commentationes Mathematicae Universitatis Carolinae 027.2 (1986): 301-306. <http://eudml.org/doc/17461>.

@article{Quittner1986,
author = {Quittner, Pavol, Žubrinić, Darko},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonresonant elliptic equations; existence; uniqueness; contraction map; linear growth},
language = {eng},
number = {2},
pages = {301-306},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the unique solvability of nonresonant elliptic equations},
url = {http://eudml.org/doc/17461},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Quittner, Pavol
AU - Žubrinić, Darko
TI - On the unique solvability of nonresonant elliptic equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 2
SP - 301
EP - 306
LA - eng
KW - nonresonant elliptic equations; existence; uniqueness; contraction map; linear growth
UR - http://eudml.org/doc/17461
ER -

References

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  1. H. AMANN, Saddle points and multiple solutions of differential equations, Math. Z. 169 (1979), 129-166. (1979) Zbl0414.47042MR0550724
  2. C. L DOLPH, Nonlinear integral equations of the Hammerstein type, Trans. Amer. Soc. 66 (1949), 289-307. (1949) Zbl0036.20202MR0032923
  3. D. G.de FIGUEIREDO, The Dirichlet problem for nonlinear elliptic problems: a Hilbert Space approach, Lecture Notes in Math. No. 446, Springer, Berlin (1975), 144-165. (1975) MR0437924
  4. S. FUČÍK, Solvability of Nonlinear Equations and Boundary Value Problems, D. Reidel Publishing Co., Holland, 1980. (1980) MR0620638
  5. D. ŽUBRINIĆ, On the existence of solutions of - Δ u = g ( x , u , u ) , Glasnik Mat., in press. Zbl0598.35041

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