A note on the bifurcation of solutions for an elliptic sublinear problem

Alessio Porretta

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 107, page 153-164
  • ISSN: 0041-8994

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Porretta, Alessio. "A note on the bifurcation of solutions for an elliptic sublinear problem." Rendiconti del Seminario Matematico della Università di Padova 107 (2002): 153-164. <http://eudml.org/doc/108575>.

@article{Porretta2002,
author = {Porretta, Alessio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {153-164},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on the bifurcation of solutions for an elliptic sublinear problem},
url = {http://eudml.org/doc/108575},
volume = {107},
year = {2002},
}

TY - JOUR
AU - Porretta, Alessio
TI - A note on the bifurcation of solutions for an elliptic sublinear problem
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 107
SP - 153
EP - 164
LA - eng
UR - http://eudml.org/doc/108575
ER -

References

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  1. [1] A. AMBROSETTI - P. HESS, Positive solutions of asymptotically linear elliptic eigenvalue problems, J. Math. Anal. Appl., 73 (1980), pp. 411-422. Zbl0433.35026MR563992
  2. [2] A. AMBROSETTI - P. H. RABINOWITZ, Dual variational methods in critical point theory and applications, J. Functional Analysis 14 (1973), pp. 349-381. Zbl0273.49063MR370183
  3. [3] D. ARCOYA - J. CARMONA - B. PELLACCI, Bifurcation for some quasilinear operators, Proc. Royal Soc. of Edinburgh, Sect. A, 131, no. 4 (2001), pp. 733-765. Zbl0999.35024MR1854994
  4. [4] D. ARCOYA - J. L. GAMEZ - L. ORSINA - I. PERAL, Local existence results for sub-super-critical elliptic problems, Comm. Appl. Anal., 5, no. 4 (2001), pp. 557-569. Zbl1085.35511MR1864273
  5. [5] H. BREZIS - R. E. L. TURNER, On a class of superlinear elliptic problems, Comm. Partial Diff. Eq., 2 (1977), pp. 601-614. Zbl0358.35032MR509489
  6. [6] J-P. DIAS - J. HERNANDEZ, Bifurcation a l’infini et alternative de Fredholm pour certains problemes unilateraux, J. Math. Pures et appl., 55 (1976), pp. 189-206. Zbl0295.35032MR460877
  7. [7] J. I. DIAZ - J. HERNANDEZ, Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem, C. R. Acad. Sci. Paris, Serie I, 329 (1999), pp. 587-592. Zbl0937.35064MR1717114
  8. [8] J. HERNANDEZ, PHD Thesis, Universidad Autonoma de Madrid (1977). 
  9. [9] M. A. KRASNOSELSKII, Positive Solutions of Operator Equations, Noordhoff, Groningen (1964). Zbl0121.10604MR181881
  10. [10] E. MONTEFUSCO, Sublinear elliptic eigenvalue problems in Rn , Atti Sem. Mat. Fis. Univ. Modena, 47, no. 2 (1999), pp. 317-326. Zbl0935.35047MR1727414
  11. [11] P. H. RABINOWITZ, On bifurcation from infinity, J. Diff. Eq., 14 (1973), pp. 462-475. Zbl0272.35017MR328705
  12. [12] G. STAMPACCHIA, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble), 15, no. 1 (1965), pp. 189-258. Zbl0151.15401MR192177

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