Multivalued nonpositone problems

David Arcoya; Marco Calahorrano

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 2, page 117-123
  • ISSN: 1120-6330

Abstract

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In this note, the existence of non-negative solutions for some multivalued non-positone elliptic problems is studied.

How to cite

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Arcoya, David, and Calahorrano, Marco. "Multivalued nonpositone problems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.2 (1990): 117-123. <http://eudml.org/doc/244288>.

@article{Arcoya1990,
abstract = {In this note, the existence of non-negative solutions for some multivalued non-positone elliptic problems is studied.},
author = {Arcoya, David, Calahorrano, Marco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Elliptic multivalued problem; Discontinuous nonlinearities; Sub-linear and superlinear; multivalued non-positone elliptic problems},
language = {eng},
month = {5},
number = {2},
pages = {117-123},
publisher = {Accademia Nazionale dei Lincei},
title = {Multivalued nonpositone problems},
url = {http://eudml.org/doc/244288},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Arcoya, David
AU - Calahorrano, Marco
TI - Multivalued nonpositone problems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/5//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 2
SP - 117
EP - 123
AB - In this note, the existence of non-negative solutions for some multivalued non-positone elliptic problems is studied.
LA - eng
KW - Elliptic multivalued problem; Discontinuous nonlinearities; Sub-linear and superlinear; multivalued non-positone elliptic problems
UR - http://eudml.org/doc/244288
ER -

References

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  1. AMBROSETTI, A. - BADIALE, M., The dual variational principle and elliptic problems with discontinuous nonlinearities. J. Math. Anal. Appl., 140-2, 1989, 363-373. Zbl0687.35033MR1001862DOI10.1016/0022-247X(89)90070-X
  2. AMBROSETTI, A. - HESS, P., Positive solutions of asymptotically linear elliptic eigenvalue problems. J. Math. Anal. Appl., 73, 1980, 411-422. Zbl0433.35026MR563992DOI10.1016/0022-247X(80)90287-5
  3. AMBROSETTI, A. - RABINOWITZ, P. H., Dual variational methods in critical point theory and applications. J. Funct. Anal, 14, 1973, 349-381. Zbl0273.49063MR370183
  4. BROWN, K. J. - CASTRO, A. - SHTVAJI, R., Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems. Diff. and Int. Eqns., 2, 1989, 541-545. Zbl0736.35039MR996760
  5. CASTRO, A. - SHIVAJI, R., Non negative solutions for a class of radially symmetric non-positone problems. Proc. American Math. Soc, 106-3, 1989, 735-740. Zbl0686.35044MR949875DOI10.2307/2047429
  6. CHANG, K. C., Variational methods for nondifferentiahle functionals and their applications to partial differential equations. J. Math. Anal. Appl., 80, 1981, 102-129. Zbl0487.49027MR614246DOI10.1016/0022-247X(81)90095-0
  7. GIDAS, B. - NI, W. M. - NIRENBERG, L., Symmetry and related properties via the maximum principle. Comm. Math. Phys., 68, 1979, 209-243. Zbl0425.35020MR544879
  8. POLYA, G. - SZEGO, G., Isoperimetric inequalities in mathematical physics. Princeton University Press, 1951. Zbl0044.38301MR43486
  9. MORREY, C. B., Multiple integrals in calculus of variations. Springer, Berlin1966. Zbl0142.38701
  10. STUART, C. A., Differential equations with discontinuous nonlinearities. Arch. Rat. Mech. & Analysis, 63, 1976, 59-75. Zbl0393.34010MR481227

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