Further remark on a theorem by E. M. Landesman and A. C. Lazer

Svatopluk Fučík

Commentationes Mathematicae Universitatis Carolinae (1974)

  • Volume: 015, Issue: 2, page 259-271
  • ISSN: 0010-2628

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Fučík, Svatopluk. "Further remark on a theorem by E. M. Landesman and A. C. Lazer." Commentationes Mathematicae Universitatis Carolinae 015.2 (1974): 259-271. <http://eudml.org/doc/16618>.

@article{Fučík1974,
author = {Fučík, Svatopluk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {259-271},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Further remark on a theorem by E. M. Landesman and A. C. Lazer},
url = {http://eudml.org/doc/16618},
volume = {015},
year = {1974},
}

TY - JOUR
AU - Fučík, Svatopluk
TI - Further remark on a theorem by E. M. Landesman and A. C. Lazer
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1974
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 015
IS - 2
SP - 259
EP - 271
LA - eng
UR - http://eudml.org/doc/16618
ER -

References

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  1. M. S. BERGER M. SCHECHTER, On the solvability of semilinear operator equations and elliptic boundary value problems, Bull. Amer. Math. Soc. 78 (1972), 741-745. (1972) MR0303374
  2. R. COURANT D. HILBERT, Methods of Mathematical Physics, Vol. 1, New York, 1953. (1953) 
  3. S. FUČÍK, Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations, Čas. pěst. mat. 96 (1971), 371-390. (1971) MR0326502
  4. [4J S. FUČÍK, Nonlinear equations with noninvertible linear part, Czechoslovak Math. Journal (to appear). MR0348568
  5. S. FUČÍK M. KUČERA J. NEČAS, Ranges of nonlinear asymptotically linear operators, J. Diff. Equations (to appear). MR0372696
  6. S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK, Spectral Analysis of Nonlinear Operators, Lecture Notes in Mathematics No 346, Springer Verlag 1973. (1973) MR0467421
  7. P. HESS, On a theorem by Landesman and Lazer, Indiana Univ. Math. Journal (to appear). Zbl0259.35036MR0352687
  8. M. A. KRASNOSELSKIJ, Positive Solutions of Operator's Equations, (Russian), Moscow 1962. (1962) 
  9. E. M. LANDESMAN A. C. LAZER, Nonlinear perturbations of linear boundary value problems at resonance, Journ. Math. Mech. 19 (1970), 609-623. (1970) MR0267269
  10. J. NEČAS, Fredholm alternative for nonlinear operators with application to partial differential equations and integral equations, Čas. pěst. mat. 97 (1972), 65-71. (1972) MR0308882
  11. J. NEČAS, On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14 (1973), 63-72. (1973) MR0318995
  12. L. NIRENBERG, An application of generalized degree to a class of nonlinear problems, Troisième Colloq. Anal. Fonct. Liège Centre Beige de Recherches Mathématiques, 1971, pp. 57-73. (1971) Zbl0317.35036MR0413207
  13. L. NIRENBERG, Generalized degree and nonlinear problems, "Contributions to Nonlinear Analysis" edited by E. Zarantonello. Academic Press 1971, pp. 1-9. (1971) Zbl0267.47034MR0388188
  14. M. SCHECHTER, A nonlinear elliptic boundary value problem, (to appear). Zbl0302.35044MR0369912
  15. S. A. WILLIAMS, A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem, J. Diff. Equations 8 (1970), 580-586. (1970) Zbl0209.13003MR0267267

Citations in EuDML Documents

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  1. Lamberto Cesari, Heinz W. Engl, Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space
  2. Georg Hetzer, Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type
  3. Esther Podolak, A note on the existence of more than one solution for asymptotically linear equations
  4. Svatopluk Fučík, Remarks on some nonlinear boundary value problems
  5. Svatopluk Fučík, Nonlinear potential equations with linear parts at resonance
  6. Svatopluk Fučík, Спектральный анализ нелинейных операторов

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