On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance

Georg Hetzer

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 2, page 315-334
  • ISSN: 0010-2628

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Hetzer, Georg. "On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance." Commentationes Mathematicae Universitatis Carolinae 017.2 (1976): 315-334. <http://eudml.org/doc/16755>.

@article{Hetzer1976,
author = {Hetzer, Georg},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {315-334},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance},
url = {http://eudml.org/doc/16755},
volume = {017},
year = {1976},
}

TY - JOUR
AU - Hetzer, Georg
TI - On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 2
SP - 315
EP - 334
LA - eng
UR - http://eudml.org/doc/16755
ER -

References

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  1. F. E. BROWDER, Existence theorems for nonlinear partial differential equations, Proc. Symp. Pure Math. 16, Amer. Math. Soc. (1970), edited by: Shing-Shen Chern and Stefan Smale. (1970) Zbl0211.17204MR0269962
  2. D. G. DE FIGUEIREDO, On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 15 (1974). 415-428. (1974) Zbl0296.35038MR0365254
  3. D. G. DE FIGUEIREDO, The Dirichilet problem for nonlinear elliptic equations: A Hilbert space approach, Partial differential equations and related topics, Lecture Notes 446 (1975), edited by K. A. Goldstein. (1975) MR0437924
  4. S. FUČÍK M. KUČERA J. NEČAS, Ranges of nonlinear asymptotically linear operators, J. Diff. Eq. 17 (1975), 375-394. (1975) MR0372696
  5. P. HESS, On a theorem by Landesman and Lazer, Indiana Univ. Math. J. 23 (1974), 827-829. (1974) Zbl0259.35036MR0352687
  6. G. HETZER, Some remarks on φ + -operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations, Ann. Soc. Scient. Bruxelles 89 (1975), 553-564. (1975) Zbl0316.47041MR0385653
  7. G. HETZER, Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type, Comment. Math. Univ. Carolinae 16 (1975), 121-138. (1975) Zbl0298.47034MR0364814
  8. G. HETZER V. STALLBOHM, Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0 , to appear. MR0458262
  9. G. HETZER V. STALLBOHM, Coincidence degree and Rabinowitz's bifurcation theorem, to appear. 
  10. E. M. LANDESMAN A. C. LAZER, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) MR0267269
  11. J. MAWHIN, Nonlinear perturbations of Fredholm mappings in normed spaces and applications to differential equations, Trabalho de Matematica No 61, Univ. of Brasilia (1974). (1974) 
  12. J. NEČAS, Les méthodes directes en théorie des équations elliptiques, Paris (1967). (1967) MR0227584
  13. 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
  14. L. NIRENBERG, An application of generalized degree to a class of nonlinear problems, Proc. Symp. Functional Anal., Liège (1971). (1971) Zbl0317.35036MR0413207
  15. M. SCHECHTER, A nonlinear elliptic boundary value problem, Ann. Scu. Norm. Sup. Pisa, Ser. III, 27 (1973), 707-716. (1973) MR0369912
  16. C. A. STUART, Some bifurcation theory for k -set-contractions, Proc. London Math. Soc. (3) 27 (1973), 531-550. (1973) Zbl0268.47064MR0333856
  17. S. A. WILLIAMS, A sharp sufficient condition for solutions of a nonlinear elliptic boundary value problem, J. Differ. Eq. 8 (1970), 580-586. (1970) MR0267267

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